183 (number)

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

In mathematics

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

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

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

See also

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

References

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