Properties of the Number 55797

Fifty-Five Thousand Seven Hundred Ninety-Seven

Basics

Value: 55796 → 55797 → 55798

Parity: odd

Prime: No

Previous Prime: 55793

Next Prime: 55799

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 2657

Divisors: 1, 3, 7, 21, 2657, 7971, 18599, 55797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111110101

Octal: 154765

Duodecimal: 28359

Hexadecimal: d9f5

Square: 3113305209

Square Root: 236.2138861286525

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

Triangle composed of generalized Catalan numbers. A64094

Generalized Catalan numbers C(4; n). A64087

A(n, k) = hypergeometric([-k, k+1], [-k-1], n), square array read by ascending antidiagonals for n,k >= 0. A323206

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^2·k) * (1 + x^3·k). A327045

Seventh diagonal of triangle A064094. A64303

Expansion of ∏_k>=1 1/((1 - x^2·k-1)^k*(5·k-3/2)*(1 - x^2·k)^k*(5·k+3/2)). A294654

a(n) = hypergeometric([-n - 1, n + 2], [-n - 2], n). A323208

Number of (n+4) X 6 binary arrays with every 5 X 5 subblock commuting with each horizontal and vertical neighbor 5 X 5 subblock. A186602

T(2n+4,n), array T as in A055794. A55797