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From Wikipedia, the free encyclopedia

133 (one hundred [and] thirty-three) is the natural number following 132 and preceding 134.

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Transcription

Contents

In mathematics

133 is an n whose divisors (excluding n itself) added up divide φ(n). It is an octagonal number[1] and a Harshad number.[2] It is also a happy number.[3]

133 is a repdigit in base 11 (111) and base 18 (77), whilst in base 20 it is a cyclic number formed from the reciprocal of the number three.

133 is a semiprime: a product of two prime numbers, namely 7 and 19. Since those prime factors are Gaussian primes, this means that 133 is a Blum integer.

In the military

In transportation

In other fields

133 is also:

See also

References

  1. ^ "Sloane's A000567 : Octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. ^ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  4. ^ Porter, Darwin; Danforth Prince (2009). Frommer's Austria. Hoboken, New Jersey: Frommer's. p. 482. ISBN 978-0-470-39897-5.
This page was last edited on 12 February 2019, at 22:57
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