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.

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 other fields

House number in Baarle (Belgian part)

Thirty-seven is:

• The number of plays Shakespeare is thought to have written (counting Henry IV as three parts).
• The number Shaun Alexander used from college till the Seahawks(MVP for 2005)
• 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 is the designation for a US interstate highway in Texas, running from San Antonio to Corpus Christi.
• +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).
• The number of men Veronica had been revealed to have performed fellatio on in the film Clerks, and a number which has turned up in Kevin Smith's other films as a result of this fact.
• The number 37 has largely been made famous by James Jordan in the movie, Cada La Cuente
• The number that Martin Škrtel (born December 15, 1984 in Handlová, Slovakia), Slovak international football defender who plays for English Premier League club Liverpool FC wears on his shirt.
• A television channel reserved for radioastronomy in the United States
• The 37th president of the United States was Richard Nixon.
• The protagonist in the book This Number Speaks (Publish America 2008) by Jason Patrick Doherty, is named Thirty-Seven.
• In the mock rock biopic, This is Spinal Tap, the band has had 37 drummers.
• The counting in the song "Aquarius" by Boards Of Canada, in all it's different versions, always ends on 37.

Historical years

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

See also

• List of highways numbered 37

Related links

• "37 Factoids" page