117 (number)

Short description: Natural number

| <- 116  | 117 |  118 ->

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← 110 111 112 113 114 115 116 117 118 119 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

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
Quaternary| 13114
Quinary| 4325
Senary| 3136
Octal| 1658
Duodecimal| 9912
Hexadecimal| 7516
Vigesimal| 5H20
Base 36| 3936

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

## Contents

* 1 In mathematics
* 2 In other fields
* 3 See also
* 4 References

## 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.

## See also

* 117 (disambiguation)

## References

1. ↑ Buchholz, Ralph Heiner (1992). "Perfect pyramids". Bulletin of the Australian Mathematical Society 45 (3): 353–368. doi:10.1017/S0004972700030252.
2. ↑ Deza, Michel; Deza, Elena (2012). Figurate Numbers. World Scientific. p. 2. ISBN 9789814458535. https://books.google.com/books?id=ERS7CgAAQBAJ&pg=PA2.
3. ↑ Sloane, N. J. A., ed. "Sequence A000326 (Pentagonal numbers)". OEIS Foundation. https://oeis.org/A000326.
4. ↑ Niederman, Derrick (2009). Number Freak: From 1 to 200- The Hidden Language of Numbers Revealed. Penguin. p. 10. ISBN 9781101135488. https://books.google.com/books?id=Oo7lZl3Ru6AC&pg=PA10. .
5. ↑ Kleeman, Terry; Barrett, Tracy (2005). The Ancient Chinese World. Oxford University Press. p. 35. ISBN 9780195171020. https://books.google.com/books?id=ps-A60cvtpwC&pg=PA35.
6. ↑ Kojima, Craig T. (January 21, 2000). "Enter the dragon". Honolulu Star-Bulletin. http://archives.starbulletin.com/2000/01/21/features/index.html.
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". Stockholm University Department of Linguistics. https://www.diva-portal.org/smash/get/diva2:1679808/FULLTEXT01.pdf.

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