183 (number)

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

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

Because ${\displaystyle 183=13^2+13+1}$, it is the number of points in a projective plane over the finite field ${\displaystyle {\mathbb{\mathbb{Z}}}_{13}}$.^[2] 183 is the fourth element of a divisibility sequence ${\displaystyle 1,3,13,183,\dots }$ in which the ${\displaystyle n}$th number ${\displaystyle a_n}$ can be computed as $${\displaystyle a_n=a_{n-1}^2+a_{n-1}+1=\lfloor x^{2^n}\rfloor ,}$$ for a transcendental number ${\displaystyle x\approx 1.38509}$.^[3][4] This sequence counts the number of trees of height ${\displaystyle \le n}$ in which each node can have at most two children.^[3][5]

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

• The year AD 183 or 183 BC
• List of highways numbered 183
• All pages with titles containing 183

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