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	th
Factorization	prime
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

It is a prime number, the fifth lucky prime, the first irregular prime, the third unique prime and the third cuban prime of the form

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

It is a factor of all 3-digit base 10 repdigits, such as 111. 37 is the smallest prime that is not also a supersingular prime. It is a centered hexagonal number and a star number.

37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.

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 obviously more than 37 twice, 37 is a Størmer number.

37 is the only two digit number in base 10 whose product, when multiplied by two, subtracted by one, and then read backwards, equals the original two digit number: 37×2=74, 74-1=73, 73 backwards is 37.

37 is the only two digit number in base 10 with the following property: The difference between the two digits equals the square root of the difference between the number itself and the least common multiple of the two digits.

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.
• The number of as-of-yet unidentified radio signals that have been received from outer space

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 only manager to date 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 (Belgian part)

Thirty-seven is:

• The division unit number of the 37th Heilghast shock division, an all German military division in the AFU.
• 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 through 36, the 00 is not used in European roulette as it is in American roulette)
• I-37, a disambiguation page
• 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), Moldavia (+373), Armenia (+374), Belarus (+375), Andorra (+376), Monaco (+377), San Marino (+378) and Vatican City (+379).
• A television channel reserved for radioastronomy in the United States
• The protagonist in the book This Number Speaks (Publish America 2008) by Jason Patrick Doherty, is named Thirty-Seven
• Paul Newman's inmate number in Cool Hand Luke
• A recurring number in films by filmmaker Kevin Smith
• The age at which Vincent van Gogh died.

Historical years

37 B.C., 37 A.D., 1837, 1937, 2037

See also

• List of highways numbered 37

Related links

• "37 Factoids" page