57 (number)

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57 (fifty-seven) is the natural number following 56 and preceding 58.


Cardinal 57
fifty-seven
Ordinal 57th
fifty-seventh
Factorization 3\cdot 19
Divisors 1, 3, 19, 57
Roman numeral LVII
Binary 111001
Hexadecimal 39

Contents

[edit] In mathematics

Fifty-seven is the sixteenth discrete bi-prime and the sixth in the (3.q) family. With 58 it forms the fourth discrete bi-prime pair. 57 has an aliquot sum of 23 and is the first composite member of the 23-aliquot tree. Although 57 is not prime, it is jokingly known as the "Grothendieck prime" after a story in which Grothendieck advances it as an example of a particular prime number.[1]

As a semiprime, 57 is a Blum integer since its two prime factors are both Gaussian primes.

57 is a 20-gonal number. It is a Leyland number since 25 + 52 = 57.

57 is a repdigit in base 7 (111).

See also 57-cell.

[edit] In science

[edit] Astronomy

  • The Saros cycle number of the lunar eclipse series which began on -823 April 16 and ended on 475 June 5. The duration of Saros series 57 was 1298.1 years, and it contained 73 lunar eclipses.[4]

[edit] In music

[edit] In Media

[edit] In fiction

there are Fifty Seven movie references in the movie 'Scream'

[edit] In other fields

Fifty-seven is:

  • The designation of French part "Moselle" Departement part of "Lorraine" region
  • The code for international direct dial phone calls to Colombia
  • The designation of Interstate 57, a freeway that runs from Missouri to Illinois
  • Heinz 57 is a brand of steak sauce, and the number of varieties of foods claimed to be produced by the H.J. Heinz Company
  • The name model name of a Maybach car
  • Ship: USS Lake Champlain CG 57
  • Carnegie Hall is on West 57th Street in New York City
  • There are 5 days in a work-week and 7 in a full week, hence 57.
  • New York Mets pitcher Johan Santana wears number 57. He signed a six year contract in early 2008 that guarantees him $137.5 million through 2013 with a team option for 2014 that would bring the value of the contract to $150.75 million. This contract is the largest in baseball history for a pitcher.

[edit] Historical years

57 A.D., 57 B.C., 1957, 2057, etc.

[edit] References

  1. ^ This story is repeated in Part 2 of the AMS Notices biographical article on Grothendieck (Notices, Vol. 51, No. 10, November 2004; the article is available here).
  2. ^ [1]
  3. ^ [2]
  4. ^ [3]