47 (number)

Last updated
46 47 48
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

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

Contents

Mathematics

Forty-seven is a safe prime, [1] an isolated prime, a [2] highly cototient number, [3] an Eisenstein prime, and a Lucas number. [4]

47 is also supersingular prime. [5] It is the last consecutive prime number that divides the order of at least one sporadic group. [6]

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. [7]

Pomona College

The Smith Clock Tower (right) at Pomona College has been set up to chime on the 47th minute of the hour. Bixby Plaza ramp at Pomona College.jpg
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. [8] [9] 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. [10]

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. [10]

Many Pomona alumni have deliberately inserted 47 references into their work. [8] 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. [10] [11] [12] 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]

Other

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 seventh chakras, respectively.) The number featured on the cover of AmeriKKKan Korruption, stylized to resemble a swastika. [16]

Related Research Articles

29 (twenty-nine) is the natural number following 28 and preceding 30. It is a prime number.

35 (thirty-five) is the natural number following 34 and preceding 36.

71 (seventy-one) is the natural number following 70 and preceding 72.

73 (seventy-three) is the natural number following 72 and preceding 74. In English, it is the smallest natural number with twelve letters in its spelled out name.

31 (thirty-one) is the natural number following 30 and preceding 32. It is a prime number.

113 is the natural number following 112 and preceding 114.

119 is the natural number following 118 and preceding 120.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

It is:

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

5000 is the natural number following 4999 and preceding 500. Five thousand is, at the same time, the largest isogrammic numeral, and the smallest number that contains everyone of the five vowels in the English language.

6000 is the natural number following 5999 and preceding 6001.

In number theory, a branch of mathematics, a highly cototient number is a positive integer which is above 1 and has more solutions to the equation

193 is the natural number following 192 and preceding 194.

41 (forty-one) is the natural number following 40 and preceding 42.

References

  1. "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. Sloane, N. J. A. (ed.). "SequenceA007510(Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-06-19.
  3. "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. "Sloane's A005479 : Prime Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  5. "Sloane's A002267 : The 15 supersingular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  6. 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.
  7. "Astronomy 100 – Early Astronomy".
  8. 1 2 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.
  9. "1964". Pomona College Timeline. Pomona College. Archived from the original on August 7, 2020. Retrieved 7 April 2020.
  10. 1 2 3 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.
  11. 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.
  12. 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.
  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.
  16. "Capital Steez: King Capital". The Fader. Rosenberg, Eli. Retrieved 2016-08-30.