Properties of the Number 53311

Fifty-Three Thousand Three Hundred Eleven

Basics

Value: 53310 → 53311 → 53312

Parity: odd

Prime: No

Previous Prime: 53309

Next Prime: 53323

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 89 × 599

Divisors: 1, 89, 599, 53311

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000000111111

Octal: 150077

Duodecimal: 26A27

Hexadecimal: d03f

Square: 2842062721

Square Root: 230.89174952778197

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

T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. A204876

a(n) = 68·n² - 1. A158730

Composite numbers k such that σ(k + σ(k)) = 2*σ(k). A246858

Number of (n+1) X 4 0..3 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. A204871

Self-conjugate digitized partition numbers. A68325

Number of (n+1)X(n+1) 0..3 arrays with the permanents of all 2X2 subblocks equal and nonzero. A204868

Number of balanced partitions of n: the largest part equals the number of parts. A47993

Number of integer partitions of n with the same length as alternating sum. A357189

Expansion of x⁹/((1-x)*(1-x²)*(1-x³))². A117485

Number of integer partitions of n with the same product of parts as their conjugate. A325039