133 (number)

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
← 132 133 134 →
Cardinalone hundred thirty-three
Ordinal133rd
(one hundred thirty-third)
Factorization7 × 19
Divisors1, 7, 19, 133
Greek numeralΡΛΓ´
Roman numeralCXXXIII
Binary100001012
Ternary112213
Quaternary20114
Quinary10135
Senary3416
Octal2058
DuodecimalB112
Hexadecimal8516
Vigesimal6D20
Base 363P36

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

In mathematics[edit]

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[edit]

In transportation[edit]

In other fields[edit]

133 is also:

See also[edit]

References[edit]

  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.