183 (number)

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183 (one hundred [and] eighty-three) is the natural number following 182 and preceding 184.

← 182 183 184 →
Cardinalone hundred eighty-three
Ordinal183rd
(one hundred eighty-third)
Factorization3 × 61
Divisors1, 3, 61, 183
Greek numeralΡΠΓ´
Roman numeralCLXXXIII
Binary101101112
Ternary202103
Senary5036
Octal2678
Duodecimal13312
HexadecimalB716

In mathematics

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183 is a perfect totient number, a number that is equal to the sum of its iterated totients.[1]

Because  , it is the number of points in a projective plane over the finite field  .[2] 183 is the fourth element of a divisibility sequence   in which the  th number   can be computed as   for a transcendental number  .[3][4] This sequence counts the number of trees of height   in which each node can have at most two children.[3][5]

There are 183 different semiorders on four labeled elements.[6]

See also

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References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A082897 (Perfect totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A002061 (Central polygonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ a b Sloane, N. J. A. (ed.). "Sequence A002065". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Dubickas, Artūras (2022). "Transcendency of some constants related to integer sequences of polynomial iterations". Ramanujan Journal. 57 (2): 569–581. doi:10.1007/s11139-021-00428-5. MR 4372232. S2CID 236289092.
  5. ^ Kalman, Stan C.; Kwasny, Barry L. (January 1995). "Tail-recursive distributed representations and simple recurrent networks". Connection Science. 7 (1): 61–80. doi:10.1080/09540099508915657.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A006531 (Semiorders on n elements)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.