183 (one hundred ndeighty-three) is the

natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...

following

182 Year 182 ( CLXXXII) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Sura and Rufus (or, less frequently, year 935 ''Ab urbe condita'') ...

and preceding

184 __NOTOC__ Year 184 ( CLXXXIV) was a leap year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Eggius and Aelianus (or, less frequently, year 937 ''Ab ...

In mathematics

183 is a

perfect totient number In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number ''n'', apply it again to the resulting totient, and so on, until the number 1 is reached, ...

, a number that is equal to the sum of its iterated totients Because

183 = 13^2 + 13 + 1

, it is the number of points in a

projective plane In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that do ...

over the

finite field In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtr ...

\mathbb_

. 183 is the fourth element of a

divisibility sequence In mathematics, a divisibility sequence is an integer sequence (a_n) indexed by positive integers ''n'' such that :\textm\mid n\texta_m\mid a_n for all ''m'', ''n''. That is, whenever one index is a multiple of another one, then the co ...

1,3,13,183,\dots

in which the

n

th number

a_n

can be computed as

a_n=a_^2+a_+1=\bigl\lfloor x^\bigr\rfloor,

for a

transcendental number In mathematics, a transcendental number is a number that is not algebraic—that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are and . Though only a few classes ...

x\approx 1.38509

. This sequence counts the number of trees of height

\le n

in which each node can have at most two children. There are 183 different

semiorder In order theory, a branch of mathematics, a semiorder is a type of ordering for items with numerical scores, where items with widely differing scores are compared by their scores and where scores within a given margin of error are deemed incompar ...

s on four labeled elements.

References

{{DEFAULTSORT:183 (Number) Integers 183

In mathematics

See also

References