117 (number)

For other uses, see 117 (disambiguation).
← 116 117 118 →
Cardinalone hundred seventeen
Ordinal117th
(one hundred seventeenth)
Factorization32 × 13
Divisors1, 3, 9, 13, 39, 117
Greek numeralΡΙΖ´
Roman numeralCXVII, cxvii
Binary11101012
Ternary111003
Senary3136
Octal1658
Duodecimal9912
Hexadecimal7516

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]

117 is also the atomic number of tennessine.

See also

References

Wikimedia Commons has media related to 117 (number).
  1. ^ Buchholz, Ralph Heiner (1992). "Perfect pyramids". Bulletin of the Australian Mathematical Society. 45 (3): 353–368. doi:10.1017/S0004972700030252. MR 1165142.
  2. ^ Deza, Michel; Deza, Elena (2012). Figurate Numbers. World Scientific. p. 2. ISBN 9789814458535.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A000326 (Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Niederman, Derrick (2009). Number Freak: From 1 to 200- The Hidden Language of Numbers Revealed. Penguin. p. 10. ISBN 9781101135488..
  5. ^ Kleeman, Terry; Barrett, Tracy (2005). The Ancient Chinese World. Oxford University Press. p. 35. ISBN 9780195171020.
  6. ^ Kojima, Craig T. (January 21, 2000). "Enter the dragon". Honolulu Star-Bulletin.
  7. ^ Kann, Amanda (Spring 2022). "'For the fifty-eleventh time': Examining cross-linguistic properties of hyperbolic numerals and quasi-numeral expressions through parallel text extraction" (PDF) (Master's thesis). Stockholm University Department of Linguistics. Retrieved 2022-08-11.