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Properties of the Number 36792

Thirty-Six Thousand Seven Hundred Ninety-Two

Basics

Value: 36791 → 36792 → 36793

Parity: even

Prime: No

Previous Prime: 36791

Next Prime: 36793

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 3 × 3 2 × 7 × 73

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000111110111000

Octal: 107670

Duodecimal: 19360

Hexadecimal: 8fb8

Square: 1353651264

Square Root: 191.81240835774938

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = Z(Sm; σ[1](n), σ[2](n),..., σ[m](n)) where Z(Sm; x1,x2,...,xm) is the cycle index of the symmetric group Sm and σ[k](n) is the sum of k-th powers of divisors of n; m=3. A68020
Numbers divisible by at least five of their digits, different and >1. A187533
Triangle read by rows: T(n,h) = number of functions f:{1,2,...,n}->{1,2,...,n-1} such that |Image(f)|=h, h=1,2,...,n-1, n=2,3,... A101819
Triangle read by rows: T(n,h) = number of functions f:{1,2,...,n}->{1,2,...,n-2} such that |Image(f)|=h, h=1,2,...,n-2; n=3,4,.... A101821
From fundamental unit of Z[ (-n)1/4 ]. A6830
Number of inequivalent ways to color the edges of a tetrahedron using at most n colors so that no color appears more than twice. A282820
Number of entries in the ninth cycles of all permutations of [n]. A285237
Array read by downward antidiagonals: A(n,k) = A(n,k-1) + (k+1)*(A(n-1,k) + A(n-1,k+1)) with A(n,0) = A(n-1,0) + A(n-1,1), A(0,k) = 1, n >= 0, k >= 0. A379460
Expansion of e.g.f. cosh(log(1+x)*cos(x)). A9133
Consider iteration of the function f(x) = σ(φ(x)) = A062402(x). Sequence lists the numbers k such that the trajectory of k returns to k. A96998