117 (number)

← 116 117 118 →
Cardinal one hundred seventeen
Ordinal 117th
(one hundred seventeenth)
Factorization 32 × 13
Divisors 1, 3, 9, 13, 39, 117
Greek numeral ΡΙΖ´
Roman numeral CXVII
Binary 11101012
Ternary 111003
Senary 3136
Octal 1658
Duodecimal 9912
Hexadecimal 7516

117 (one hundred [and] seventeen) is the natural number following 116 and preceding 118.

In mathematics

117 is the smallest possible length of the longest edge of an integer Heronian tetrahedron (a tetrahedron whose edge lengths, face areas and volume are all integers). Its other edge lengths are 51, 52, 53, 80 and 84.

117 is a pentagonal number.

In other fields

117 can be a substitute for the number 17, which is considered unlucky in Italy. When Renault exported the R17 to Italy, it was renamed R117.

Chinese dragons are usually depicted as having 117 scales, subdivided into 81 associated with yang and 36 associated with yin.

In the Danish language the number 117 (Danish: hundredesytten) is often used as a hyperbolic term to represent an arbitrary but large number.

See also