133 (number)

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132 133 134
Cardinal one hundred thirty-three
Ordinal 133rd
(one hundred thirty-third)
Factorization 7 × 19
Divisors 1, 7, 19, 133
Greek numeral ΡΛΓ´
Roman numeral CXXXIII
Binary 100001012
Ternary 112213
Senary 3416
Octal 2058
Duodecimal B112
Hexadecimal 8516

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

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 happy number. [2]

133 is a Harshad number, because it is divisible by the sum of its digits.

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.

133 is the number of compositions of 13 into distinct parts. [3]

In the military

In transportation

In other fields

133 is also:

See also

Related Research Articles

127 is the natural number following 126 and preceding 128. It is also a prime number.

145 is the natural number following 144 and preceding 146.

129 is the natural number following 128 and preceding 130.

131 is the natural number following 130 and preceding 132.

167 is the natural number following 166 and preceding 168.

152 is the natural number following 151 and preceding 153.

136 is the natural number following 135 and preceding 137.

173 is the natural number following 172 and preceding 174.

141 is the natural number following 140 and preceding 142.

139 is the natural number following 138 and preceding 140.

154 is the natural number following 153 and preceding 155.

156 is the natural number, following 155 and preceding 157.

181 is the natural number following 180 and preceding 182.

158 is the natural number following 157 and preceding 159.

159 is a natural number following 158 and preceding 160.

165 is the natural number following 164 and preceding 166.

168 is the natural number following 167 and preceding 169.

166 is the natural number following 165 and preceding 167.

176 is the natural number following 175 and preceding 177.

182 is the natural number following 181 and preceding 183.

References

  1. "Sloane's A000567 : Octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. Sloane, N. J. A. (ed.). "SequenceA032020(Number of compositions (ordered partitions) of n into distinct parts)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-05-24.
  4. Porter, Darwin; Danforth Prince (2009). Frommer's Austria . Hoboken, New Jersey: Frommer's. p.  482. ISBN   978-0-470-39897-5.