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47 (number)

From Wikipedia, the free encyclopedia
Natural number
← 4647 48 →
Cardinalforty-seven
Ordinal47th
(forty-seventh)
Factorizationprime
Prime15th
Divisors1, 47
Greek numeralΜΖ´
Roman numeralXLVII,xlvii
Binary1011112
Ternary12023
Senary1156
Octal578
Duodecimal3B12
Hexadecimal2F16

47 (forty-seven) is thenatural number following46 and preceding48. It is aprime number.

It is the adopted favorite number ofPomona College, a liberal arts college in Southern California, whose alumni have added cultural references to it in numerous places, including manyStar Trek episodes.

Mathematics

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47 is asafe prime,[1] aThabit prime,[2] aregular prime,[3] acluster prime,[4] anisolated prime,[5] aRamanujan prime,[6] and aHiggs prime.[7]

47 is also asupersingular prime.[8] It is the last consecutive prime number that divides the order of at least onesporadic group.[9]

In popular culture

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Pomona College

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Ramp descending toward Bixby Plaza, with the Smith Clock Tower at right
The Smith Clock Tower (right) atPomona College has been set up to chime on the 47th minute of the hour.

The number 47 has historical implications toPomona College, aliberal arts college inClaremont, California, and has been incorporated into various aspects of campus life.[10][11] The tradition began in the summer of 1964, when two students, Laurie Mets and Bruce Elgin, conducted a research project seeking to find out whether the number occurs more often in nature than would be expected by chance. They documented various 47 sightings, and professorDonald Bentley produced afalse mathematical proof that 47 was equal to all other integers. The number became ameme among the class, which spread once the academic year began and snowballed over time.[12]

Notable 47 sightings include the fact that Pomona is located off of exit 47 ofInterstate 10, and the fact that the largest residential building on campus, Mudd-Blaisdell (formally Florence Carrier Blaisdell and Della Mullock Mudd Hall, a title with 47 characters), was completed in 1947 and contains a staircase with 47balusters.[12]

Many Pomona alumni have deliberately inserted 47 references into their work.[10]Joe Menosky (class of 1979), a writer forStar Trek: The Next Generation, inserted 47 mentions into nearly every episode of the show, a practice that has been picked up by otherStar Trek writers.[12][13][14] Pomona hosts acommunity service–oriented celebration every April 7 (abbreviated 4/7 in the U.S.).[15] In the early 2010s, the college's clock tower was set up to chime on the 47th minute of the hour.[16][17]

Other

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Late rapperCapital Steez was infatuated with the number 47 and what it meant spiritually. He believed the number 47 was the "perfect expression of balance in the world", representing the tension between the heart and the brain (the fourth and seventh chakras, respectively.) The number featured on the cover ofAmeriKKKan Korruption, stylized to resemble a swastika.[18]

The protagonist of theHitman series is namedAgent 47.

References

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  1. ^"Sloane's A005385 : Safe primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-30.
  2. ^"Sloane's A055010 : a(0) = 0; for n > 0, a(n) = 3*2^(n-1) - 1".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^"Sloane's A007703 : Regular primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^"Sloane's A038134 : Cluster primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^Sloane, N. J. A. (ed.)."Sequence A007510 (Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2024-06-19.
  6. ^"Sloane's A104272 : a(n) is the smallest number such that if x >= a(n), then pi(x) - pi(x/2) >= n, where pi(x) is the number of primes <= x".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^"Sloane's A007459 : a(n+1) = smallest prime > a(n) such that a(n+1)-1 divides the product (a(1)...a(n))^2".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^"Sloane's A002267 : The 15 supersingular primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-30.
  9. ^Ronan, Mark (2006).Symmetry and the Monster: One of the Greatest Quests of Mathematics. New York:Oxford University Press. pp. 244–246.ISBN 978-0-19-280722-9.MR 2215662.OCLC 180766312.Zbl 1113.00002.
  10. ^abLipka, Sara (11 February 2005)."Pomona's Prime Number".The Chronicle of Higher Education.Archived from the original on October 29, 2020. Retrieved7 April 2020.
  11. ^"1964".Pomona College Timeline. Pomona College.Archived from the original on August 7, 2020. Retrieved7 April 2020.
  12. ^abcDolinar, Sarah (October 1, 2000)."The Mystery of 47".Pomona College Magazine. Vol. 37, no. 1. Pomona College.Archived from the original on October 26, 2020. Retrieved7 April 2020.
  13. ^Shin, Daniel (September 7, 2016)."Let's do the number: 'Star Trek' and the 47 conspiracy".Marketplace.American Public Media.Archived from the original on October 1, 2020. Retrieved7 April 2020.
  14. ^Klein, Ezra (November 21, 2012)."The Last Word".The Last Word with Lawrence O'Donnell.NBCUniversal. 56 minutes in.MSNBC. RetrievedApril 7, 2021 – viaArchive.org.
  15. ^"4/7 Celebration of Sagehen Impact". Pomona College.Archived from the original on July 31, 2019. Retrieved7 April 2019.
  16. ^Rowan, Brendan (November 5, 2010)."Clock Tower Bell Set to Chime On the 47th Minute".The Student Life.Archived from the original on July 31, 2019. Retrieved7 April 2019.
  17. ^"Tower's bell ringing again at Pomona College".Los Angeles Daily News. November 7, 2010.Archived from the original on July 31, 2019. Retrieved7 April 2019.
  18. ^"Capital Steez: King Capital".The Fader. Rosenberg, Eli. Retrieved2016-08-30.
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