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117 (number)

From Wikipedia, the free encyclopedia
For other uses, see117 (disambiguation).
Natural number
← 116117 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 thenatural number following116 and preceding118.

In mathematics

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117 is the smallest possible length of the longest edge of an integerHeronian 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 apentagonal number.[2][3]

In other fields

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117 can be a substitute for the number17, which isconsidered unlucky inItaly. WhenRenault exported theR17 to Italy, it was renamed R117.[4]

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

See also

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References

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Wikimedia Commons has media related to117 (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)".TheOn-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. Retrieved2022-08-11.
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