Properties of the Number 96957

Ninety-Six Thousand Nine Hundred Fifty-Seven

Basics

Value: 96956 → 96957 → 96958

Parity: odd

Prime: No

Previous Prime: 96953

Next Prime: 96959

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ⁶ × 7 × 19

Divisors: 1, 3, 7, 9, 19, 21, 27, 57, 63, 81

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101010111101

Octal: 275275

Duodecimal: 48139

Hexadecimal: 17abd

Square: 9400659849

Square Root: 311.3791900561115

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 convolution triangle of numbers obtained from A036068. A30524

Triangle read by rows: T(n,k) is the number of ternary trees with n edges and such that the first leaf in the preorder traversal is at level k (1<=k<=n). A ternary tree is a rooted tree in which each vertex has at most three children and each child of a vertex is designated as its left or middle or right child. A121445

Z(S_m; σ[1](n), σ[2](n),..., σ[m](n)) where Z(S_m; x₁,x₂,...,x_m) is the cycle index of the symmetric group S_m and σ[k](n) is the sum of k-th powers of divisors of n; m=4. A68021

Numbers k with the property that if the base-8 representation of k is read backwards, the result is an integral multiple of k. A223090

Triangle S(n,k) by rows: coefficients of 3^n/2*(x^2/3*d/dx)ⁿ when n=0,2,4,6,... A223526

Fourth column (m=3) of (1,6)-Pascal triangle A096956. A96957

Numbers k such that k = concat(a,b) and k | a^b + b^a, with a>0 and b>0. A257897