57

← 56 58 → 57
← 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
Divisors	1, 3, 19, 57
Roman numeral	LVII
Binary	1110012
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 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.

In science

• The atomic number of Lanthanum, 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.^[2]

• The Saros cycle number of the solar eclipse series which began on -1161 June 17 and ended on 137 August 4. The duration of Saros series 57 was 1298.1 years, and it contained 73 solar eclipses.^[3]

• 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]

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
• Andy Warstar's record label - Studio 57
• Alternative country band Slick 57
• The Sure SM 57 is considered the workhorse of recording mics

In Media

• Passenger 57, a film starring Wesley Snipes
• Agent 57 is the name of the master of disguise in the television series Dangermouse
• The 57th Overlanders is a fictional brigade from the cancelled Joss Whedon television show, Firefly
• C-57D is the number of the featured ship in the movie Forbidden Planet, and is referenced in the movie Serenity as well
• CBS News Studios are on West 57th Street in New York City
• Meredith Vieira hosted "West 57," a weekly CBS news-magazine show, 1985 – 1989
• Brian Keith and Carolyn Jones starred in dramatic anthology series, "Studio 57" in 1954
• The Fabulous 57 were disk jockeys on WMCA 570 Radio, New York during the 1960’s
• The resolution of events in the movie Eraser occur on Pier 57.

In fiction

• 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)
• Summer of Fifty Seven by Stephen C. Joseph
• there are Fifty Seven movie references in the movie 'Scream'

In other fields

Fifty-seven is:

• A Boy Scout Troop from the Des Plaines Valley Council.
• The number of the French department Moselle
• The code for international direct dial phone calls to Colombia
• The designation of Interstate 57 (I-57), a freeway that runs from Miner, Missouri to Chicago
• Municipal Okrug 57, a municipal okrug of Nevsky District of Saint Petersburg, Russia
• Heinz 57 is a brand of 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
• New York Mets pitcher Johan Santana wears number 57.
• Chicago Bears center Olin Kreutz wears jersey number 57.

Historical years

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

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. ^ 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