Properties of the Number 53312

Fifty-Three Thousand Three Hundred Twelve

Basics

Value: 53311 → 53312 → 53313

Parity: even

Prime: No

Previous Prime: 53309

Next Prime: 53323

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 7 ² × 17

Divisors: 1, 2, 4, 7, 8, 14, 16, 17, 28, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000001000000

Octal: 150100

Duodecimal: 26A28

Hexadecimal: d040

Square: 2842169344

Square Root: 230.89391503458899

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 T(n,k) read by rows: number of k X k symmetric (0,1)-matrices with exactly n entries equal to 1 and no zero rows or columns. A135589

a(n) = n²*(n+1)*(3·n+1)/4. A213827

Sum of the divisors of n³ - 1. A234860

Number of (n+2)X(5+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A253041

Number of (n+2)X(6+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A253042

a(n) = (7*(csc(2*π/7))²)ⁿ + (7*(csc(4*π/7))²)ⁿ + (7*(csc(8*π/7))²)ⁿ. A287396

Expansion of (1+x·C⁴)*C, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A70859

Triangle read by rows: T(n,k) is the number of fixed-point-free involutions of {1,2,...,2n} having k descents (n>=1; 1<=k<2n-1). A161127

Inverse binomial transform of A143025, assuming offset zero there. A173435

Number of 3-turn queen's tours on an n X n board summed over all starting positions. A186966