# 117 (number)

Short description: Natural number
 ← 116 117 118 →
Cardinalone hundred seventeen
Ordinal117th
(one hundred seventeenth)
Factorization32 × 13
Divisors1, 3, 9, 13, 39, 117
Greek numeralΡΙΖ´
Roman numeralCXVII
Binary11101012
Ternary111003
Quaternary13114
Quinary4325
Senary3136
Octal1658
Duodecimal9912
Vigesimal5H20
Base 363936

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.[1]

117 is a pentagonal number.[2][3]

## 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.[4]

Chinese dragons are usually depicted as having 117 scales,[5] subdivided into 81 associated with yang and 36 associated with yin.[6]

In the Danish language the number 117 (Danish: hundredesytten) is often used as a hyperbolic term to represent an arbitrary but large number.[7]

The atomic number of tennessine is 117.