117 (number)

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← 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, 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.

Contents

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]

In the Danish language the number 117 (Danish : hundredesytten) is often used as a hyperbolic term to represent an arbitrary but large number. [5]

See also

References

  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.). "SequenceA000326(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. ↑ 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.


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