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47 (number)

47 (forty-seven) is the natural number following 46 and preceding 48. It is a prime number.

Cardinalforty-seven
Ordinal47th
(forty-seventh)
Factorizationprime
Prime15th
Divisors1, 47
Greek numeralΜΖ´
Roman numeralXLVII
Binary1011112
Ternary12023
Senary1156
Octal578
Duodecimal3B12
Hexadecimal2F16

In mathematics edit

Forty-seven is the fifteenth prime number, a safe prime,[1] the thirteenth supersingular prime,[2] the fourth isolated prime, and the sixth Lucas prime.[3] Forty-seven is a highly cototient number.[4] It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1.

It is a Lucas number. It is also a Keith number because its digits appear as successive terms earlier in the series of Lucas numbers: 2, 1, 3, 4, 7, 11, 18, 29, 47, ...[5]

It is the number of trees on 9 unlabeled nodes.[6]

Forty-seven is a strictly non-palindromic number.[7]

Its representation in binary being 101111, 47 is a prime Thabit number, and as such is related to the pair of amicable numbers {17296, 18416}.

In science edit

Astronomy edit

In popular culture edit

Pomona College edit

 
The Smith Clock Tower (right) at Pomona College has been set up to chime on the 47th minute of the hour.

The number 47 has historical implications to Pomona College, a liberal arts college in Claremont, 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 professor Donald Bentley produced a false mathematical proof that 47 was equal to all other integers. The number became a meme 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 of Interstate 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 47 balusters.[12]

Many Pomona alumni have deliberately inserted 47 references into their work.[10] Joe Menosky (class of 1979), a writer for Star Trek: The Next Generation, inserted 47 mentions into nearly every episode of the show, a practice that has been picked up by other Star Trek writers.[12][13][14] Pomona hosts a community 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 edit

Agent 47 is the protagonist of the Hitman video game, movie and comic book franchise.

Late rapper Capital 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 sixth chakra, respectively.) The number featured on the cover of AmeriKKKan Korruption, stylized to resemble a swastika.[18]

Calendar years edit

Other edit

References edit

  1. ^ "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. ^ "Sloane's A002267 : The 15 supersingular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  3. ^ "Sloane's A005479 : Prime Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. ^ "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  5. ^ "Sloane's A007629 : Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  6. ^ "Sloane's A000055: Number of trees with n unlabeled nodes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. from the original on 2010-11-29. Retrieved 2021-12-19.
  7. ^ "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  8. ^ "Astronomy 100 – Early Astronomy".
  9. ^ The NGC / IC Project – Home of the Historically Corrected New General Catalogue (HCNGC) since 1993
  10. ^ a b Lipka, Sara (11 February 2005). "Pomona's Prime Number". The Chronicle of Higher Education. from the original on October 29, 2020. Retrieved 7 April 2020.
  11. ^ "1964". Pomona College Timeline. Pomona College. from the original on August 7, 2020. Retrieved 7 April 2020.
  12. ^ a b c Dolinar, Sarah (October 1, 2000). "The Mystery of 47". Pomona College Magazine. Vol. 37, no. 1. Pomona College. from the original on October 26, 2020. Retrieved 7 April 2020.
  13. ^ Shin, Daniel (September 7, 2016). "Let's do the number: 'Star Trek' and the 47 conspiracy". Marketplace. American Public Media. from the original on October 1, 2020. Retrieved 7 April 2020.
  14. ^ Klein, Ezra (November 21, 2012). "The Last Word". The Last Word with Lawrence O'Donnell. NBCUniversal. 56 minutes in. MSNBC. Retrieved April 7, 2021 – via Archive.org.
  15. ^ "4/7 Celebration of Sagehen Impact". Pomona College. from the original on July 31, 2019. Retrieved 7 April 2019.
  16. ^ Rowan, Brendan (November 5, 2010). "Clock Tower Bell Set to Chime On the 47th Minute". The Student Life. from the original on July 31, 2019. Retrieved 7 April 2019.
  17. ^ "Tower's bell ringing again at Pomona College". Los Angeles Daily News. November 7, 2010. from the original on July 31, 2019. Retrieved 7 April 2019.
  18. ^ "Capital Steez: King Capital". The Fader. Rosenberg, Eli. Retrieved 2016-08-30.

number, forty, seven, natural, number, following, preceding, prime, number, list, numbersintegers, cardinalforty, sevenordinal47th, forty, seventh, factorizationprimeprime15thdivisors1, 47greek, numeralΜΖ, roman, numeralxlviibinary1011112ternary12023senary1156. 47 forty seven is the natural number following 46 and preceding 48 It is a prime number 46 47 48 40 41 42 43 44 45 46 47 48 49 List of numbersIntegers 0 10 20 30 40 50 60 70 80 90 Cardinalforty sevenOrdinal47th forty seventh FactorizationprimePrime15thDivisors1 47Greek numeralMZ Roman numeralXLVIIBinary1011112Ternary12023Senary1156Octal578Duodecimal3B12Hexadecimal2F16 Contents 1 In mathematics 2 In science 2 1 Astronomy 3 In popular culture 3 1 Pomona College 3 2 Other 4 Calendar years 5 Other 6 ReferencesIn mathematics editForty seven is the fifteenth prime number a safe prime 1 the thirteenth supersingular prime 2 the fourth isolated prime and the sixth Lucas prime 3 Forty seven is a highly cototient number 4 It is an Eisenstein prime with no imaginary part and real part of the form 3n 1 It is a Lucas number It is also a Keith number because its digits appear as successive terms earlier in the series of Lucas numbers 2 1 3 4 7 11 18 29 47 5 It is the number of trees on 9 unlabeled nodes 6 Forty seven is a strictly non palindromic number 7 Its representation in binary being 101111 47 is a prime Thabit number and as such is related to the pair of amicable numbers 17296 18416 In science edit47 is the atomic number of silver Astronomy edit The 47 year cycle of Mars after 47 years 22 synodic periods of 780 days each Mars returns to the same position among the stars and is in the same relationship to the Earth and Sun The ancient Mesopotamians discovered this cycle 8 Messier object M47 a magnitude 4 5 open cluster in the constellation Puppis 47 Tucanae the second brightest globular cluster in the sky located in the constellation Tucana The New General Catalogue object NGC 47 9 a barred spiral galaxy in the constellation Cetus This object is also designated as NGC 58 In popular culture editPomona College edit nbsp The Smith Clock Tower right at Pomona College has been set up to chime on the 47th minute of the hour The number 47 has historical implications to Pomona College a liberal arts college in Claremont 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 professor Donald Bentley produced a false mathematical proof that 47 was equal to all other integers The number became a meme 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 of Interstate 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 47 balusters 12 Many Pomona alumni have deliberately inserted 47 references into their work 10 Joe Menosky class of 1979 a writer for Star Trek The Next Generation inserted 47 mentions into nearly every episode of the show a practice that has been picked up by other Star Trek writers 12 13 14 Pomona hosts a community 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 edit Agent 47 is the protagonist of the Hitman video game movie and comic book franchise Late rapper Capital 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 sixth chakra respectively The number featured on the cover of AmeriKKKan Korruption stylized to resemble a swastika 18 Calendar years edit47 BC AD 47Other editTelephone dialing country code for Norway The AK 47 also known as a Kalashnikov rifle is one of the most widely used military weapons in the world The CH 47 Chinook a helicopter 47 is the number of the French department Lot et Garonne The P 47 Thunderbolt was a fighter plane in World War II There are Forty seven Ronin in the famous Japanese story There are 47 Prefectures of Japan References edit Sloane s A005385 Safe primes The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved 2016 05 30 Sloane s A002267 The 15 supersingular primes The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved 2016 05 30 Sloane s A005479 Prime Lucas numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved 2016 05 30 Sloane s A100827 Highly cototient numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved 2016 05 30 Sloane s A007629 Repfigit REPetitive FIbonacci like diGIT numbers or Keith numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved 2016 05 30 Sloane s A000055 Number of trees with n unlabeled nodes The On Line Encyclopedia of Integer Sequences OEIS Foundation Archived from the original on 2010 11 29 Retrieved 2021 12 19 Sloane s A016038 Strictly non palindromic numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved 2016 05 30 Astronomy 100 Early Astronomy The NGC IC Project Home of the Historically Corrected New General Catalogue HCNGC since 1993 a b Lipka Sara 11 February 2005 Pomona s Prime Number The Chronicle of Higher Education Archived from the original on October 29 2020 Retrieved 7 April 2020 1964 Pomona College Timeline Pomona College Archived from the original on August 7 2020 Retrieved 7 April 2020 a b c Dolinar 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 Retrieved 7 April 2020 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 Retrieved 7 April 2020 Klein Ezra November 21 2012 The Last Word The Last Word with Lawrence O Donnell NBCUniversal 56 minutes in MSNBC Retrieved April 7 2021 via Archive org 4 7 Celebration of Sagehen Impact Pomona College Archived from the original on July 31 2019 Retrieved 7 April 2019 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 Retrieved 7 April 2019 Tower s bell ringing again at Pomona College Los Angeles Daily News November 7 2010 Archived from the original on July 31 2019 Retrieved 7 April 2019 Capital Steez King Capital The Fader Rosenberg Eli Retrieved 2016 08 30 nbsp Wikimedia Commons has media related to 47 number Retrieved from https en wikipedia org w index php title 47 number amp oldid 1222463385, wikipedia, wiki, book, books, library,

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