37 (number)
From Wikipedia, the free encyclopedia
| 37 | |
|---|---|
| Cardinal | thirty-seven |
| Ordinal | 37th (thirty-seventh) |
| Factorization | prime |
| Divisors | 1, 37 |
| Roman numeral | XXXVII |
| Binary | 1001012 |
| Octal | 458 |
| Duodecimal | 3112 |
| Hexadecimal | 2516 |
37 (thirty-seven) is the natural number following 36 and preceding 38.
Contents |
[edit] 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
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: 37x2=74-1=73, 73 backwards is 37.
[edit] In science
- The atomic number of rubidium.
- The normal human body temperature in degrees Celsius.
[edit] 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
[edit] In other fields
Thirty-seven is:
- The number of plays William Shakespeare is thought to have written (counting Henry IV as three parts).[1]
- 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
- Municipal Okrug 37, a municipal okrug of Krasnoselsky District of Saint Petersburg, Russia
- +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 the egg eating scene of Cool Hand Luke
- A recurring number in films by filmmaker Kevin Smith
[edit] Historical years
37 B.C., 37 A.D., 1837, 1937, 2037
[edit] See also
[edit] References
- ^ Adam Spencer, Adam Spencer's Book of Numbers. New York: Four Walls Eight Windows (2004): 61
