About 42

About 42

March 28, 2019

Forty&Deuce | The Answer to the Ultimate Question of Life, the Universe, and Everything

Forty and Deuce or 42 for short!

42 is a weird and wonderful phenomenon. From the critical angle of a rainbow to the fastest, most efficient way to travel across continents. It permeates many many facets of the universe itself.

Popular culture

The Hitchhiker’s Guide to the Galaxy

The Answer to the Ultimate Question of Life, The Universe, and Everything.

The number 42 is, in The Hitchhiker’s Guide to the Galaxy by Douglas Adams, the “Answer to the Ultimate Question of Life, the Universe, and Everything”, calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is. Thus, to calculate the Ultimate Question, a special computer the size of a small planet was built from organic components and named “Earth”.

The Ultimate Question “What do you get when you multiply six by nine” was found by Arthur Dent and Ford Prefect in the second book of the series, The Restaurant at the End of the Universe. This appeared first in the radio play and later in the novelization of The Hitchhiker’s Guide to the Galaxy. The fact that Adams named the episodes of the radio play “fits”, the same archaic title for a chapter or section used by Lewis Carroll in “The Hunting of the Snark”, suggests that Adams was influenced by Carroll’s fascination with and frequent use of the number. The fourth book in the series, the novel So Long, and Thanks for All the Fish, contains 42 chapters. According to the novel Mostly Harmless, 42 is the street address of Stavromula Beta.

Mathematics

Forty-two is a pronic number and an abundant number; its prime factorization 2 · 3 · 7 makes it the second sphenic number and also the second of the form (2 · 3 · r).

Additional properties of the number 42 include:

  • It is the third primary pseudoperfect number.
  • It is a Catalan number. Consequently, 42 is the number of noncrossing partitions of a set of five elements, the number of triangulations of a heptagon, the number of rooted ordered binary trees with six leaves, the number of ways in which five pairs of nested parentheses can be arranged, etc.
  • It is an alternating sign matrix number, that is, the number of 4-by-4 alternating sign matrices.
  • It is the number of partitions of 10—the number of ways of expressing 10 as a sum of positive integers (note a different sense of partition from that above).
  • The 3 × 3 × 3 magic cube with rows summing to 42.
  • Given 27 same-size cubes whose nominal values progress from 1 to 27, a 3 × 3 × 3 magic cube can be constructed such that every row, column, and corridor, and every diagonal passing through the center, is composed of 3 numbers whose sum of values is 42.
  • It is the third pentadecagonal number. It is a meandric number and an open meandric number.
  • 42 is the only known value that is the number of sets of four distinct positive integers a, b, c, d, each less than the value itself, such that ab − cd, ac − bd, and ad − bc are each multiples of the value. Whether there are other values remains an open questio.
  • 42 is a (2,6)-perfect number (super-multiperfect), as σ2(n) = σ(σ(n)) = 6n.
  • 42 is the resulting number of the original Smith number (4937775 = 3 × 5 × 5 × 65837): Both the sum of its digits (4 + 9 + 3 + 7 + 7 + 7 + 5) and the sum of the digits in its prime factorization (3 + 5 + 5 + (6 + 5 + 8 + 3 + 7)) result in 42.
  • The dimension of the Borel subalgebra in the exceptional Lie algebra e6 is 42.
  • 42 is the largest number n such that there exist positive integers p, q, r with 1 = /n + 1/p + 1/q + 1/r
  • 42 is the smallest number k such that for every Riemann surface C, #Aut(C) ≤ k deg(KC) = k(2g − 2) (Hurwitz’s automorphisms theorem)
  • 42 is a perfect score on the USA Math Olympiad (USAMO) and International Mathematical Olympiad (IMO).
  • 42 is the maximum of core points awarded in International Baccalaureate Diploma Programme.
  • 42 is the sum of the first 6 positive even numbers.

Science

  • 42 is the atomic number of molybdenum.
  • 42 is the atomic mass of one of the naturally occurring stable isotopes of calcium.
  • The angle rounded to whole degrees for which a rainbow appears (the critical angle).
  • In 1966, mathematician Paul Cooper theorized that the fastest, most efficient way to travel across continents would be to bore a straight hollow tube directly through the Earth, connecting a set of antipodes, remove the air from the tube and fall through. The first half of the journey consists of free-fall acceleration, while the second half consists of an exactly equal deceleration. The time for such a journey works out to be 42 minutes. Even if the tube does not pass through the exact center of the Earth, the time for a journey powered entirely by gravity (known as a gravity train) always works out to be 42 minutes, so long as the tube remains friction-free, as while the force of gravity would be lessened, the distance traveled is reduced at an equal rate. (The same idea was proposed, without calculation by Lewis Carroll in 1893 in Sylvie and Bruno Concluded.)

Technology

Magic numbers used by programmers:

  • In TIFF (Tagged Image File Format), the second 16-bit word of every file is 42, “an arbitrary but carefully chosen number that further identifies the file as a TIFF file”.
  • In the reiser4 file system, 42 is the inode number of the root directory.
  • In the military IRIG 106 Chapter 10 data recording standard, the hex value 0x464F52545974776F (ASCII “FORTYtwo”) is used as a magic number to identify directory blocks.
  • The GNU C Library, a set of standard routines available for use in computer programming, contains a function—memfrob()—which performs an XOR combination of a given variable and the binary pattern 00101010 (42) as an XOR cipher.
  • Tiling a plane using regular hexagons, which is honeycomb in appearance, is approximated in a topological sense to an accuracy of better than 1% using a stretcher bond brick pattern with bricks of 42 squares (6 by 7).
  • The password expiration policy for a Microsoft Windows domain defaults to 42 days.

Astronomy

  • Messier object M42, a magnitude 5.0 diffuse nebula in the constellation Orion, also known as the Orion Nebula.
  • The New General Catalogue object NGC 42, a spiral galaxy in the constellation Pegasus.
  • In January 2004, asteroid 2001 DA42 was given the permanent name 25924 Douglasadams, for the author Douglas Adams who popularized the number 42 and died in 2001. Brian G. Marsden, the director of the Minor Planet Center and the secretary for the naming committee, remarked that, with even his initials in the provisional designation, “This was sort of made for him, wasn’t it?”.
  • Kepler-42, a red dwarf in the constellation Cygnus around which orbits the three smallest exoplanets found to date.
  • 42 Isis, a large main-belt asteroid measuring about 100 km in diameter.

Religion

  • There are 42 questions asked of persons making their journey through Death. Ma’at, a female personification, considered to be both maternal and a delivering force, is an Ancient Egyptian personification of physical and moral law, order, and truth. In the judgment scene described in the Egyptian and the Book of Pass (the Book of the Dead, which evolved from the Coffin Texts and the Pyramid Texts), there are 42 questions personifying the analysis of Ma’at. If the departed reasonably can give answers to the 42 questions, they have the potential to either be reincarnate, or if completely successful, reach the ultimate goal of becoming a Star, whereon, they can continue to give Light, and fuel Universal growth.
  • 42 is the number with which God creates the Universe in Kabbalistic tradition. In Kabbalah, the most significant name is that of the En Sof (also known as “Ein Sof”, “Infinite” or “Endless”), who is above the Sefirot (sometimes spelled “Sephirot”). The Forty-Two-Lettered Name contains four combined names which are spelled in Hebrew letters (spelled in letters = 42 letters), which is the name of Azilut (or “Atziluth” “Emanation”). While there are obvious links between the Forty-Two Lettered Name of the Babylonian Talmud and the Kabbalah’s Forty-Two Lettered Name, they are probably not identical because of the Kabbalah’s emphasis on numbers. The Kabbalah also contains a Forty-Five Lettered Name and a Seventy-Two Lettered Name.
  • The number 42 appears in various contexts in Christianity. There are 42 generations (names) in the Gospel of Matthew’s version of the Genealogy of Jesus; it is prophesied that for 42 months the Beast will hold dominion over the Earth (Revelation 13:5); 42 men of Beth-azmaveth were counted in the census of men of Israel upon return from exile (Ezra 2:24); God sent bears to maul 42 of the teenage boys who mocked Elisha for his baldness (2 Kings 2:23), etc.
  • In Judaism, the number (in the Babylonian Talmud, compiled 375 AD to 499 AD) of the “Forty-Two Lettered Name” ascribed to God. Rab (or Rabhs), a 3rd-century source in the Talmud stated “The Forty-Two Lettered Name is entrusted only to him who is pious, meek, middle-aged, free from bad temper, sober, and not insistent on his rights”. [Source: Talmud Kidduschin 71a, Translated by Rabbi Dr. I. Epstein]. Maimonides felt that the original Talmudic Forty-Two Lettered Name was perhaps composed of several combined divine names [Maimonides “Moreh”]. The apparently unpronouncable Tetragrammaton provides the backdrop from the Twelve-Lettered Name and the Forty-Two Lettered Name of the Talmud.
  • The Gutenberg Bible is also known as the “42-line Bible”, as the book contained 42 lines per page.
  • The Forty-Two Articles (1552), largely the work of Thomas Cranmer, were intended to summarise Anglican doctrine, as it now existed under the reign of Edward VI.
  • The Sutra of 42 Sections is a Buddhist scripture.

Works of Lewis Carroll

Lewis Carroll, who was a mathematician, made repeated use of this number in his writings.

Examples of Carroll’s use of 42:
 

  • Alice’s Adventures in Wonderland has 42 illustrations.
  • Alice’s attempts at multiplication (chapter two of Alice in Wonderland) work if one uses base 18 to write the first answer, and increases the base by threes to 21, 24, etc. (the answers working up to 4 × 12 = “19” in base 39), but “breaks” precisely when one attempts the answer to 4 × 13 in base 42, leading Alice to declare “oh dear! I shall never get to twenty at that rate!”
  • Rule Forty-two in Alice’s Adventures in Wonderland (“All persons more than a mile high to leave the court”).
  • Rule 42 of the Code in the preface to The Hunting of the Snark (“No one shall speak to the Man at the Helm”).
  • In “fit the first” of The Hunting of the Snark the Baker had “forty-two boxes, all carefully packed, With his name painted clearly on each.”
  • The White Queen announces her age as “one hundred and one, five months and a day”, which—if the best possible date is assumed for the action of Through the Looking-Glass—gives a total of 37,044 days. If the Red Queen, as part of the same chess set, is regarded as the same age, their combined age is 74,088 days, or 42 × 42 × 42.

Music

  • Level 42 is an English pop/rock music band.
  • “42” is one of the tracks on Coldplay’s 2008 album Viva la Vida or Death and All His Friends.
  • “Channel 42” is an electronic music song by deadmau5 featuring Wolfgang Gartner; it appears on the 2012 deadmau5 album Album Title Goes Here.

Television and film

The TV Series Lost (credit LostPedia)

Below is a list of appearances on the show, by episode chronology. The writers of the show decided to include this number in the series as an homage to The Hitchhiker's Guide to the Galaxy

Occurrences in the show

  •     The typical Lost episode lasts around 42 minutes (excluding commercials and end credits).
  •     Several episodes over the duration of the series, the first of which being Walkabout, run for exactly 42 minutes 42 seconds.

Season 1

  •     42 was the "Mega Number" on Hurley's winning lottery ticket. ("Numbers")
  •     There were 42 numbers on the papers from Danielle (7 rows of the six numbers 4, 8, 15, 16, 23, 42). ("Numbers").
  •     Boone died on day 42 on the Island. ("Do No Harm")
  •     Ana Lucia sat in seat 42F. ("Exodus, Part 1")    
  •     Hurley's hotel room in Sydney was number 2342. ("Exodus, Part 1")
  •     Hurley's car had gone 42km when it broke down on his way to the airport.("Exodus, Part 1")
  •     Hurley passed by several girls in the airport wearing jerseys with the numbers, including 42. ("Exodus, Part 1")
  •     Including Aaron and Vincent, there were 42 Oceanic Flight 815 middle-section survivors still on the Island at the end of Season 1. ("Exodus, Part 3")

Season 2

  •     42 is the last number in the sequence to the hatch gun safe. ("Man of Science, Man of Faith")
  •     42 was on the mural in The Swan, in addition to 108. ("Man of Science, Man of Faith")
  •     The shower head in the Swan station had 42 holes. ("Man of Science, Man of Faith")
  •     42 was the number of the "Gilgamesh" answer to a crossword puzzle Locke was doing. ("Collision")
  •     Kate dealt out $42 to buy a ticket to Tallahassee. ("What Kate Did")
  •     42 was part of the video reel number 23108-42 that Kelvin showed to Sayid. ("One of Them")
  •     Desmond looked at letters he sent to Penny while he was in jail, and the address of Southway Garrison, Desmond's jail, was 42 Berechurch Road. ("Live Together, Die Alone, Part 1")
  •     Desmond tells Libby that he needed $42,000 to buy a boat. ("Live Together, Die Alone, Part 1")
  •     Kelvin was 42 years old when he was killed by Desmond. ("Live Together, Die Alone, Part 1")

Season 3

  •     42 was the number of the "Necessary Evils" answer to a crossword puzzle Jack was doing. ("A Tale of Two Cities")
  •     42 was the number of moves to inevitable mate of the computer on the chess game Locke played in the Flame. ("Enter 77")

Season 4

  •     The registration of the helicopter was N842M. ("Confirmed Dead")
  •     The docket number of Kate's trial was 42231615, the last four Numbers in reverse. ("Eggtown")
  •     The appropriate setting for Daniel Faraday's consciousness time-transporting device at Oxford University's Queen's College Physics Department was 2.342. ("The Constant")
  •     After she moved, Penelope Hume's flat was located at 423 Cheyne Walk. ("The Constant")
  •     The journal of the first mate of the Black Rock was sold at auction in lot number 2342. ("The Constant")
  •     A young boy at Hurley's surprise birthday party had an orange jersey with the number 42 on it. ("There's No Place Like Home, Part 1")
  •     The price of gas at the gas station was $3.42. ("The Lie")
  •     The ticket Ben picked at the butcher shop was 342. ("The Lie")
  •     Ben was told he had 70 hours to get the Oceanic Six back together. That is 4200 minutes. ("The Lie")
  •     The sign on the Oxford University Department of Physics was Claredon 142-08. ("Jughead")
  •     Kate's address was 42 Panorama Crest ("The Little Prince")
  •     Sayid was unconscious for 42 hours. ("The Little Prince")
  •     At LAX, the gate numbers 1-15 and 16-42 could be seen over Jack's shoulder. ("316")

Season 5

  •     When Benjamin Linus went to the butcher shop to ask the butcher to watch the dead body of Locke, the number he pulled was "342". ("The Lie")
  •     The second two numbers in the license plate of the truck which picked up Locke in Tunisia were "42". ("The Life and Death of Jeremy Bentham")

Season 6

  •     Either Sun or Jin Kwon was number 42 on Jacob's list in the Cave Wall.
  •     The clock on Sawyer's night stand in the flash-sideways timeline read 8:42. ("Recon")
  •     Desmond's order number at Mr. Cluck's Chicken Shack was 42. ("Everybody Loves Hugo")
  •     When Lapidus was lifting off the Ajira plane, the odometer spun past 23 then 42. ("The End")

The Lost Experience

  •     There were 42 rows on Flight 815 (according to official site, Oceanic-air.com).
  •     42 was the number of the (official) glyph that was placed on LostPedia as a clue the community had to seek, by The Lost Experience writers.
  •     42 was the floor number of the Hanso Foundation's headquarters .(Bad Twin)

Via Domus

  •     Zoran Savo stayed in suite 42 at the Hotel Persephone.

Outside the show and real life occurrences

  •     42 is the answer to the ultimate question of life, the universe, and everything, in Douglas Adams's five-book trilogy series The Hitchhiker's Guide to the Galaxy. When Arthur Dent in the past discovers that the question itself was, is or will be "What do you get when you multiply 6 by 9?", he says "I always said there was something fundamentally wrong with the universe." However, within the later books, it is established that that was in fact not the actual question, due to Arthur, and most Human beings, being descended from interstellar travelers, and not the original primates of Earth, and is therefore not a part of the program to discern the question. It is found that, if anyone did know both the question and the answer to life, the universe, and everything, the universe as we know it would cease to be, and be replaced with something even more nonsensical.
  •         The query "the answer to life, the universe, and everything" into Google (without the quote marks), produces the answer 42 by Google calculator (See the above).
  •     42 Books of Thoth which describe the instructions for achieving immortality. Thoth is considered the heart and tongue of Ra as well as the means by which Ra's will was translated into speech. Thoth is also involved in arbitration, magic, writing, science and the judging of the dead.
  •     42 is the number of cells in Connect Four.
  •     Fox Mulder, one of the main characters in The X-Files lived in Apartment 42 at 2630 Hegal Place, Alexandria, Virginia.
  •     42 is the angle in degrees for which a rainbow appears.
  •     In Romeo and Juliet, Juliet was to drink a potion which made her appear dead for 42 hours.
  •     In ancient Egypt, the 42 Principles of Ma'at were an important moral code, similar in many ways to the Ten Commandments.
  •     42 Isis is a Main Belt asteroid named for the Egyptian goddess.
  •     42 appears in many of the works of Lewis Carrol (Alice in Wonderland), and is thought to hold a special importance to him.
  •     In Alice's Adventures in Wonderland, the "oldest rule in the book" is rule 42: "All persons more than a mile high to leave the court."
  •     The original version of Alice's Adventures in Wonderland contains 42 illustrations.
  •     In House MD, House says his lucky number is 42
  •     In the Bible, Revelations 13:5 "And there was given unto him a mouth speaking great things and blasphemies; and power was given unto him to continue forty [and] two months."
  •     42 is the number with which God creates the Universe in Kabalistic tradition.
  •     "42" is the title of the fifth track on the Coldplay album Viva la Vida or Death and All His Friends. The fourth track is titled "Lost!", and a bonus track on the iTunes version is titled "Lost?".
  •         The first lyrics of "42" are "Those who are dead are not dead/They're just living in my head." On Lost, characters frequently experience hallucinations of deceased loved ones, and Hurley claims to have received a constant stream of dead visitors at Santa Rosa.
  •     42nd Street is the major east-west street of Times Square, in New York.
  •     Approx every 42 month there is a Solar Eclipse. Where the Moon comes between the Earth and the Sun.
  •     Jackie Robinson, the first African American Major League Baseball player, wore 42 on his jersey. It has since been retired throughout all of the MLB.
  •     There are 42 Divine Principles of the Goddess Maat.
  •     In the show It's Always Sunny in Philadelphia, Charlie has to pay 4200 dollars for a doctor to get rid of his mom's lung cancer.

Other Occurrences

  • The Kumars at No. 42 television series
  • “42” is an episode of Doctor Who, set in real time lasting approximately 42 minutes.
  • On the game show Jeopardy!, “Watson” the IBM supercomputer, has 42 “threads” in its avatar.
  • 42 (film) is a film on the life of American baseball player Jackie Robinson.
  • In the TV show the X-Files, Fox Mulder’s apartment number is 42.

Sports

Jackie Robinson in his now-retired number 42 jersey.

  • The jersey number of Jackie Robinson, which is the only number retired by all Major League Baseball teams. Although the number was retired in 1997, Mariano Rivera of the New York Yankees, the last professional baseball player to wear number 42, continued to wear it until he retired at the end of the 2013 season. As of the 2014 season, no player will ever again wear the number 42 in Major League Baseball except on Jackie Robinson Day (April 15), when all uniformed personnel (players, managers, coaches, and umpires) wear the number.
  • The number of laws of cricket
  • Rule 42 is the historic name of a Gaelic Athletic Association rule (now codified in Rule 5.1 and Rule 44) that in practice prohibits the playing of “foreign sports” (generally association football and the rugby codes) at GAA grounds.

Gaming

  • The name of a Texan trick-taking game played with dominoes (see 42 (dominoes).
  • The number of spots (or pips, circular patches or pits) on a pair of standard six-sided dice.
  • The board game Risk (game) has forty-two territories

Architecture

  • The architects of the Rockefeller Center in New York City worked daily in the Graybar Building where on “the twenty-fifth floor, one enormous drafting room contained forty-two identical drawing boards, each the size of a six-seat dining room table; another room harboured twelve more, and an additional fourteen stood just outside the principals’ offices at the top of the circular iron staircase connecting 25 to 26”.
  • In the Rockefeller Center (New York City) there are a total of “forty-two elevators in five separate banks” which carry tenants and visitors to the sixty-six floors.

Other fields

  • +42 is the historic country calling code for the former country of Czechoslovakia.
  • There are 42 US gallons in a barrel of oil.
  • 42 is the number of the French department of Loire. The number is also reflected in the postal code for that area.
  • Tower 42 is a skyscraper in the City of London, formerly known as the NatWest Tower.
  • In New York City, 42nd Street is a main and very popular two-way thoroughfare. Landmarks on it include the Chrysler Building, Grand Central Terminal, the main branch of the New York Public Library, and Times Square. The Headquarters of the United Nations is at the east end of the street. The New York City street is also the setting for a movie by the same name (which also gave fame to its eponymous title song), and which later inspired a musical adaptation, 42nd Street.
  • 42 is the inspiration for the name of the 42 Center of Excellence for Artificial Intelligence, based in Vienna, Austria
  • 42 is the name of a private college of computer science and programming funded in Paris by the businessman and creator of Free, Xavier Niel.
  • If one were to fold a piece of paper 42 times, it would reach beyond the orbit of the moon.
  • 42 is the number of seats in Social Democratic Youth of Denmark’s major council Hovedbestyrelsen. At the 2016 national convention, lowering the number of seats to 32 was discussed, but eventually the convention decided to stick with 42 members.

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