Properties of the Number 81796

Eighty-One Thousand Seven Hundred Ninety-Six

Basics

Value: 81795 → 81796 → 81797

Parity: even

Prime: No

Previous Prime: 81773

Next Prime: 81799

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 ² × 13 ²

Divisors: 1, 2, 4, 11, 13, 22, 26, 44, 52, 121

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011111110000100

Octal: 237604

Duodecimal: 3B404

Hexadecimal: 13f84

Square: 6690585616

Square Root: 286

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

Squares of tetrahedral numbers: a(n) = binomial(n+3,n)². A1249

Upper triangle of Catalan Number Wall. A78920

Numbers that are the squares of the product of three distinct primes. A162143

Array read by ascending antidiagonals: A(n,k) is the determinant of the n-th order Hankel matrix of Catalan numbers M(n) whose generic element is given by M(i,j) = A000108(i+j+k) with i,j = 0, ..., n-1. A368025

Triangle read by rows, giving Kekulé numbers for certain benzenoids (see the Cyvin-Gutman book for details). A123352

Number of ways to write n as an ordered sum of 8 primes. A340964

Squares with initial digit '8'. A45792

Number of 3-tuples (p₁, p₂, p₃) of Dyck paths of semilength n, such that each p_i is never below p_i-1. A6149

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum. A256771

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum. A258545