57 (number)

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56 57 58
Cardinal fifty-seven
Ordinal 57th
(fifty-seventh)
Factorization 3 · 19
Roman numeral LVII
Binary 1110012
Ternary 20103
Quaternary 3214
Octal 718
Duodecimal 4912
Hexadecimal 3916
Vigesimal 2H20
Base 36 1L36

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

Contents

In mathematics [edit]

Fifty-seven is the sixteenth discrete semiprime 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 supposedly gave it as an example of a particular prime number. This story is repeated in Part 2 of a biographical article on Grothendieck in Notices of the American Mathematical Society.[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.

In science [edit]

Astronomy [edit]

In fiction and media [edit]

In films [edit]

  • In the first storyboard draft for Pixar's film Cars, the main character, a race car named Lightning McQueen was going to have number 57 as his racing number, in reference to director John Lasseter's birthdate, January 12, 1957. But in the final cut, Lightning's racing number changed to 95.
  • The climax of the movie Eraser occurs on Pier 57
  • C-57D is the designation of the spaceship featured in the movie Forbidden Planet, and is referenced in the movie Serenity as well.
  • Passenger 57, a film starring Wesley Snipes
  • There are 57 movie references in the movie Scream[citation needed]

In games [edit]

In literature [edit]

In radio [edit]

In television [edit]

In food [edit]

  • Heinz 57, a brand of sauce, and the number of varieties of foods claimed to be produced by the H.J. Heinz Company
  • "Prop(osition) 57", one of a number of anti-ketchup packet groups on Facebook designed to bring attention to the shortcomings of take-out condiment packaging; its name is a reference to Heinz Co., which debuted a new design in test markets in early 2010[5]
  • A fast food dinner in Pereira, Colombia

In music [edit]

In organizations [edit]

In places [edit]

In transportation and vessels [edit]

In other fields [edit]

Fifty-seven is:

  • The code for international direct dial phone calls to Colombia

References [edit]

  1. ^ Notices of the American Mathematical Society 51 (10). November 2004 http://www.ams.org/notices/200410/fea-grothendieck-part2.pdf |url= missing title (help). 
  2. ^ The NGC / IC Project - Home of the Historically Corrected New General Catalogue (HCNGC) since 1993
  3. ^ NASA - Catalog of Solar Eclipse Saros 57
  4. ^ NASA - Lunar Eclipses of Saros Series 1 to 175
  5. ^ "After 40 years, Heinz revamps ketchup packets", AP, February 4, 2010