World Library  
Flag as Inappropriate
Email this Article

57 (number)

Article Id: WHEBN0000399300
Reproduction Date:

Title: 57 (number)  
Author: World Heritage Encyclopedia
Language: English
Subject: 58 (number), 56 (number), 50 (number), 51 (number), 53 (number)
Collection: Integers
Publisher: World Heritage Encyclopedia

57 (number)

56 57 58
Cardinal fifty-seven
Ordinal 57th
Factorization 3 × 19
Divisors 1, 3, 19, 57
Roman numeral LVII
Binary 1110012
Ternary 20103
Quaternary 3214
Quinary 2125
Senary 1336
Octal 718
Duodecimal 4912
Hexadecimal 3916
Vigesimal 2H20
Base 36 1L36

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


  • In mathematics 1
  • In science 2
    • Astronomy 2.1
  • In fiction and media 3
    • In films 3.1
    • In games 3.2
    • In literature 3.3
    • In radio 3.4
    • In television 3.5
  • In food 4
  • In music 5
  • In organizations 6
  • In places 7
  • In transportation and vessels 8
  • In other fields 9
  • References 10

In mathematics

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 mathematician Alexander 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).

There are 57 vertices and 57 hemi-dodecahedral facets in the 57-cell, a 4-dimensional abstract regular polytope.[2] The Lie algebra E has a 57-dimensional Heisenberg algebra as its nilradical, and the smallest possible homogeneous space for E8 is also 57-dimensional.[3]

In science


In fiction and media

In films

  • 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

In games

In literature

  • Summer of Fifty Seven, 2005 novel by Stephen C. Joseph, M.D. published by independent publisher Sunstone Press
  • Rudyard Kipling in The Man Who Would be King, short story, has his character Peachy state: "This business is our Fifty-Seven" after he and Daniel are discovered to be men, not gods. This alludes to the Indian Rebellion in 1857, or India's First War of Independence, against British Rule

In radio

In television

In food

  • 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[7]
  • A fast food dinner in Pereira, Colombia

In music

In organizations

In places

In transportation and vessels

In other fields

  • The code for international direct dial phone calls to Colombia is 57.


  1. ^ Jackson, Allyn (November 2004). "Comme Appelé du Néant—As if Summoned from the Void: The Life of Alexandre Grothendieck" (PDF). Notices of the American Mathematical Society 51 (10). 
  2. ^  .
  3. ^ Vogan, David (2007), "8"The character table for E (PDF), Notices of the American Mathematical Society 54 (9): 1122–1134,  .
  4. ^ The NGC / IC Project - Home of the Historically Corrected New General Catalogue (HCNGC) since 1993
  5. ^ NASA - Catalog of Solar Eclipse Saros 57
  6. ^ NASA - Lunar Eclipses of Saros Series 1 to 175
  7. ^ "After 40 years, Heinz revamps ketchup packets", AP, February 4, 2010
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.

Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.