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Cardinal | thirty-seven | |||

Ordinal | 37th (thirty-seventh) | |||

Factorization | prime | |||

Prime | 12th | |||

Divisors | 1, 37 | |||

Greek numeral | ΛΖ´ | |||

Roman numeral | XXXVII | |||

Binary | 100101_{2} | |||

Ternary | 1101_{3} | |||

Quaternary | 211_{4} | |||

Quinary | 122_{5} | |||

Senary | 101_{6} | |||

Octal | 45_{8} | |||

Duodecimal | 31_{12} | |||

Hexadecimal | 25_{16} | |||

Vigesimal | 1H_{20} | |||

Base 36 | 11_{36} |

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

## Contents

## 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,
^{[1]}the first irregular prime,^{[2]}the third unique prime^{[3]}and the third cuban prime of the form^{[4]}

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

- It is a centered hexagonal number
^{[5]}and a star number.^{[6]}

- 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).
^{[7]}

- Since the greatest prime factor of 37
^{2}+ 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a Størmer number.^{[8]}

## 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
- Kepler-37b is the smallest known planet.

## In sports

José María López used this number during his successful years in the World Touring Car Championship from 2014 until 2016. He still uses this number in Formula E since joining in 2016-17 season with DS Virgin Racing.

## In other fields

**Thirty-seven** is:

- The number of plays William Shakespeare is thought to have written (counting
*Henry IV*as three parts).^{[9]} - 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
- +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).

## See also

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

## References

**^**"Sloane's A031157 : Numbers that are both lucky and prime".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**"Sloane's A000928 : Irregular primes".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**"Sloane's A040017 : Unique period primes".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**"Sloane's A002407 : Cuban primes".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**"Sloane's A003215 : Hex (or centered hexagonal) numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**"Sloane's A003154 : Centered 12-gonal numbers. Also star numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**"Sloane's A000931��: Padovan sequence".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**"Sloane's A005528 : Størmer numbers".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-31.**^**Spencer, Adam (2004).*Adam Spencer's Book of Numbers*. New York: Four Walls Eight Windows. p. 61.

## External links

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