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
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.

In mathematics[edit]

117 is the smallest possible length of the longest side of a Heronian tetrahedron (one whose sides are all rational numbers).[1][2]

117 is a pentagonal number.[3]

In base 10, 117 is a Harshad number.[4]

In science[edit]

In arts and media[edit]

  • John-117, the codename for the protagonist in the Halo series.

In other fields[edit]

One hundred seventeen is also:

See also[edit]

References[edit]

  1. ^ Ivars Peterson, "Perfect Pyramids" MAA Online July 28, 2003
  2. ^ Weisstein, Eric W. "Heronian Tetrahedron." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/HeronianTetrahedron.html
  3. ^ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27. 
  4. ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27. 
  5. ^ Niederman, Derrick (2009), Number Freak: From 1 to 200- The Hidden Language of Numbers Revealed, Penguin, p. 10, ISBN 9781101135488 .
  6. ^ Alvarez, Chito (July 22, 2016). "DILG to implement 'Emergency hotline 911' in August". Manila Bulletin. Retrieved July 29, 2016. 

External links[edit]