57 (number)

← 56 57 58 →
← 50 51 52 53 54 55 56 57 58 59 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	fifty-seven
Ordinal	57th (fifty-seventh)
Factorization	3 × 19
Divisors	1, 3, 19, 57
Greek numeral	ΝΖ´
Roman numeral	LVII
Binary	1110012
Ternary	20103
Octal	718
Duodecimal	4912
Hexadecimal	3916

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

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.^[2]

57 is a 20-gonal number.^[3] It is a Leyland number since 5² + 2⁵ = 57.^[4]

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.^[5] The Lie algebra E_7+1/2 has a 57-dimensional Heisenberg algebra as its nilradical, and the smallest possible homogeneous space for E₈ is also 57-dimensional.^[6]

In science[]

• The atomic number of Lanthanum (La), the first of the Lanthanides

Astronomy[]

• Messier object M57, a magnitude 9.5 planetary nebula in the constellation Lyra, also known as the Ring Nebula
• The New General Catalogue object NGC 57, an elliptical galaxy in the constellation Pisces.^[7]

In fiction and media[]

In films[]

• Passenger 57, a film starring Wesley Snipes
• In the movie Contagion, Vaccine #57 successfully protects the lab monkey from infection.
• The Terminal (2004) starring Tom Hanks. There are 57 members of the jazz band that Viktor Navorski carries a picture of with him.

In games[]

• In the game Hollow Knight, a character named Zote the Mighty has fifty-seven precepts, all of which offer rather humorous, lackluster, or completely bad advice to the player.

In literature[]

• In Rudyard Kipling's short story "The Man Who Would Be King", the character Peachy states: "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.
• B'hrian Bloodaxe, the first Low King of the dwarfs, killed fifty-seven trolls in the legendary Battle of Koom Valley on Discworld (a fictional world created by author Terry Pratchett)

In radio[]

• The Fabulous 57 were disk jockeys on WMCA 570 Radio, New York City during the 1960s

In television[]

• Agent 57 is the name of the master of disguise in the television series Danger Mouse
• Exit 57, a sketch comedy show that aired on Comedy Central from 1995 to 1996 featured Stephen Colbert, Paul Dinello, Jodi Lennon, Mitch Rouse and Amy Sedaris
• The 57th Overlanders is a fictional brigade mentioned in the television series Firefly.
• West 57 was a weekly news-magazine show on CBS, 1985–89, hosted by Meredith Vieira
• The Cartoon Network program Metalocalypse has a fictional television station WHYK-57
• The Robot Chicken sketch "Pluto Nash Day" notes that 57 people at 20th Century Fox Studios died amid rioting and suicide
• A Robot Chicken parody of the NBC TV series Heroes uses the episode title "Chapter Fifty-seven: Uncle Glen"
• Studio 57 was a dramatic anthology series in 1954, starring Brian Keith and Carolyn Jones

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

In music[]

• "Incident on 57th Street", a song by Bruce Springsteen and the E Street Band, from their 1973 album, The Wild, the Innocent and the E Street Shuffle
• "57 Channels (And Nothin' On)", a song by Bruce Springsteen, from his 1992 album Human Touch
• "57", the name of a song by Biffy Clyro on their 2002 debut album, Blackened Sky
• Shure SM57, considered the workhorse of recording microphones

In organizations[]

• The number of the French department Moselle

In places[]

• Carnegie Hall is on West 57th Street in New York City

In transportation and vessels[]

• The model name of a Maybach car
• USS Lake Champlain (CG 57), a Ticonderoga class cruiser in the United States Navy and the third ship to be named Lake Champlain

In other fields[]

• The code for international direct dial phone calls to Colombia is 57.
• The number of the laps of the Bahrain Grand Prix.

See also[]

• List of highways numbered 57

References[]