37 (number)

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

← 36 37 38 →
Cardinalthirty-seven
Ordinal37th
(thirty-seventh)
Factorizationprime
Prime12th
Divisors1, 37
Greek numeralΛΖ´
Roman numeralXXXVII
Binary1001012
Ternary11013
Octal458
Duodecimal3112
Hexadecimal2516

In mathematicsEdit

 
  • 37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.
  • 37 appears in the Padovan sequence, preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).[8]
  • Since the greatest prime factor of 372 + 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a Størmer number.[9]
  • The reverse of 37 (73) and 37 + 37 (74) are adjacent.
  • 37*(1+1+1) = 111
  • 37*(2+2+2) = 222
  • 37*(3+3+3) = 333
  • 37*(4+4+4) = 444
  • 37*(5+5+5) = 555
  • 37*(6+6+6) = 666
  • 37*(7+7+7) = 777
  • 37*(8+8+8) = 888
  • 37*(9+9+9) = 999
  • If a three digit number is divisible with 37, another number divisible by 37 can be generated by transferring first digit at the end of a number. For example: 37|814 and 37|148.[10]

In scienceEdit

AstronomyEdit

In sportsEdit

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 fieldsEdit

 
House number in Baarle (in its Belgian part)

Thirty-seven is:

See alsoEdit

ReferencesEdit

  1. ^ "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  2. ^ "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  3. ^ "Sloane's A040017 : Unique period primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  4. ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  5. ^ "Sloane's A003215 : Hex (or centered hexagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  6. ^ "Sloane's A003154 : Centered 12-gonal numbers. Also star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  7. ^ Weisstein, Eric W. "Waring's Problem". mathworld.wolfram.com. Retrieved 2020-08-21.
  8. ^ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  9. ^ "Sloane's A005528 : Størmer numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  10. ^ Vukosav, Milica (2012-03-13). "NEKA SVOJSTVA BROJA 37". Matka : časopis za mlade matematičare (in Croatian). 20 (79): 164–164. ISSN 1330-1047.
  11. ^ "INDRE-ET-LOIRE : map, cities and data of the departement of Indre-et-Loire 37". www.map-france.com. Retrieved 2019-12-21.

External linksEdit

  • 37 Heaven Large collection of facts and links about this number.