57 (number)

57 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.

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. 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.

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.

In fiction and media

In films

.* Passenger 57, a film starring Wesley Snipes

• The movie Contagion (film) 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

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

In literature

• 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

• 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 1995-96 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

See also: List of highways numbered 57

• 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.