37 (number)

← 36 37 38 →
← 30 31 32 33 34 35 36 37 38 39 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	thirty-seven
Ordinal	37th (thirty-seventh)
Factorization	prime
Prime	12th
Divisors	1, 37
Greek numeral	ΛΖ´
Roman numeral	XXXVII
Binary	1001012
Ternary	11013
Senary	1016
Octal	458
Duodecimal	3112
Hexadecimal	2516

37 (thirty-seven) is the natural number following 36 and preceding 38.

In mathematics

Thirty-seven is the 12th prime number, a permutable prime with 73 (which is the 21st prime number). 37 is the fifth lucky prime, the first irregular prime, the third unique prime and the third cuban prime of the form

$p={\frac {x^{3}-y^{3}}{x-y}}\qquad \left(x=y+1\right).$

37 is the smallest prime that is not also a supersingular prime.

It is a centered hexagonal number and a star number.

Every positive integer is the sum of at most 37 fifth powers (see Waring's problem).

37 appears in the Padovan sequence, preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).

Since the greatest prime factor of 37² + 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a Størmer number.

In science

• The atomic number of rubidium
• The normal human body temperature in degrees Celsius

Astronomy

• Messier object M37, a magnitude 6.0 open cluster in the constellation Auriga
• The New General Catalogue object NGC 37, a spiral galaxy in the constellation Phoenix
• The Saros number of the solar eclipse series which began on -1794 June 25 and ended on -496 August 12. The duration of Saros series 37 was 1298.1 years, and it contained 73 solar eclipses.
• The Saros number of the lunar eclipse series which began on -1492 April 3 and ended on -194 May 22. The duration of Saros series 37 was 1298.1 years, and it contained 73 lunar eclipses.
• Kepler-37b is the smallest known planet.

In sports

The jersey number 37 has been retired by several North American sports teams in honor of past greats:

• In Major League Baseball:
  • The New York Mets, for Hall of Fame manager Casey Stengel, who was the team's first manager.
  • The New York Yankees, also for Stengel. This honor made him the first manager to have had his number retired by two different teams (the Mets in 1965, the Yankees in 1970).
• In the NFL:
  • The Detroit Lions, for Doak Walker.
  • The San Francisco 49ers, for Jimmy Johnson (not to be confused with the coach of the same name).

In other fields

House number in Baarle (in its Belgian part)

Thirty-seven is:

• The number of plays William Shakespeare is thought to have written (counting Henry IV as three parts).
• The number of the French department Indre-et-Loire
• The number of slots in European Roulette (numbered 0 to 36, the 00 is not used in European roulette as it is in American roulette)
• The number of Great Nats traditionally worshiped in Burma
• Municipal Okrug #37, name of Yugo-Zapad Municipal Okrug of Krasnoselsky District of Saint Petersburg, Russia, before 2009
• +37 was the international dialing code of the German Democratic Republic (aka East Germany). Today the +37 prefix is shared by Lithuania (+370), Latvia (+371), Estonia (+372), Moldova (+373), Armenia (+374), Belarus (+375), Andorra (+376), Monaco (+377), San Marino (+378) and Vatican City (+379).
• A television channel reserved for radio astronomy in the United States
• The number people are most likely to state when asked to give a random number between 0 and 100.
• The inspiration for the album 37 Everywhere by Punchline

See also

• List of highways numbered 37
• Number Thirty-Seven, Pennsylvania, unincorporated community in Cambria County, Pennsylvania
• I37 (disambiguation)