47 (number)
47 (forty-seven) is the natural number following 46 and preceding 48. It is a prime number.
| ||||
---|---|---|---|---|
Cardinal | forty-seven | |||
Ordinal | 47th (forty-seventh) | |||
Factorization | prime | |||
Prime | 15th | |||
Divisors | 1, 47 | |||
Greek numeral | ΜΖ´ | |||
Roman numeral | XLVII | |||
Binary | 1011112 | |||
Ternary | 12023 | |||
Senary | 1156 | |||
Octal | 578 | |||
Duodecimal | 3B12 | |||
Hexadecimal | 2F16 |
In mathematics
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
- 47 is the atomic number of silver.
Astronomy
- 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
Pomona College
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]See also
Other
- Telephone 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.
- The player protagonist of the Hitman video game franchise is called Agent 47.
References
- "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
- 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.
- 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.