Properties of the Number 52755

Fifty-Two Thousand Seven Hundred Fifty-Five

Basics

Value: 52754 → 52755 → 52756

Parity: odd

Prime: No

Previous Prime: 52747

Next Prime: 52757

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 3517

Divisors: 1, 3, 5, 15, 3517, 10551, 17585, 52755

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000010011

Octal: 147023

Duodecimal: 26643

Hexadecimal: ce13

Square: 2783090025

Square Root: 229.68456630779528

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

Number of distinct values taken by 6th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1. A199883

a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 11. A22316

Number of (n+1)X6 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186468

Number of (n+1)X9 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186471

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186472

G.f. A(x) satisfies: A(x) = exp( ∑_k>=1 (-1)^k+1 * A(x^k)³ * x^k / k ). A52755

T(n,m)=Number of (n+1)X6 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A188837