47 (number)

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← 46 47 48 →
Cardinalforty-seven
Ordinal47th
(forty-seventh)
Factorizationprime
Prime15th
Divisors1, 47
Greek numeralΜΖ´
Roman numeralXLVII
Binary1011112
Ternary12023
Senary1156
Octal578
Duodecimal3B12
Hexadecimal2F16

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

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 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] Pomona hosts a community service–oriented celebration every April 7 (abbreviated 4/7 in the U.S.).[13] In the early 2010s, the college's clock tower was set up to chime on the 47th minute of the hour.[14][15]

Calendar years[edit]

See also[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. Archived 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. Archived from the original on October 29, 2020. Retrieved 7 April 2020.
  11. ^ "1964". Pomona College Timeline. Pomona College. Archived from the original on August 7, 2020. Retrieved 7 April 2020.
  12. ^ a b 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.
  13. ^ "4/7 Celebration of Sagehen Impact". Pomona College. Archived from the original on July 31, 2019. Retrieved 7 April 2019.
  14. ^ 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.
  15. ^ "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.