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, lvii
Binary	1110012
Ternary	20103
Senary	1336
Octal	718
Duodecimal	4912
Hexadecimal	3916

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

In mathematics

57 is semiprime, ^[1] a Blum integer, ^[2] and a Leyland number. ^[3]

The split 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. ^[4]

Although fifty-seven is not prime, it is jokingly known as the Grothendieck prime after a legend in which the mathematician Alexander Grothendieck gave it as an example of a prime number, not realizing it was divisible by three. ^[5] The same error was made by another famous mathematician, Hermann Weyl, in a published article. ^[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

• Passenger 57 , a film starring Wesley Snipes
• 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
• West 57 was a weekly news-magazine show on CBS, 1985–89, hosted by Meredith Vieira
• 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 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

See also

• List of highways numbered 57

References

1. Sloane, N. J. A. (ed.). "SequenceA001358(Semiprimes (or biprimes): products of two primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
2. Sloane, N. J. A. (ed.). "SequenceA016105(Blum integers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
3. Sloane, N. J. A. (ed.). "SequenceA076980(Leyland numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
4. Vogan, David (2007), "The character table for E₈" (PDF), Notices of the American Mathematical Society, 54 (9): 1122–1134, MR   2349532
5. Jackson, Allyn (2004b). "Comme Appelé du Néant—As if Summoned from the Void: The Life of Alexandre Grothendieck" (PDF). Notices of the American Mathematical Society . 51 (10). Providence, RI: American Mathematical Society: 1196, 1197. MR   2104915. Zbl   1168.01339.
6. Weyl, Hermann (1951). "A Half-Century of Mathematics". American Mathematical Monthly . 58 (5). Washington, D.C.: Mathematical Association of America: 532. doi:10.1080/00029890.1951.11999734. JSTOR   2306319. S2CID   126101329.
7. The NGC / IC Project - Home of the Historically Corrected New General Catalogue (HCNGC) since 1993