# 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

## In mathematics

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

House number in Baarle (in its Belgian part)

Thirty-seven is:

## References

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.