Properties of the Number 53512

Fifty-Three Thousand Five Hundred Twelve

Basics

Value: 53511 → 53512 → 53513

Parity: even

Prime: No

Previous Prime: 53507

Next Prime: 53527

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 6689

Divisors: 1, 2, 4, 8, 6689, 13378, 26756, 53512

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000100001000

Octal: 150410

Duodecimal: 26B74

Hexadecimal: d108

Square: 2863534144

Square Root: 231.32660893204655

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 every 2X2 subblock summing to 6. A183642

Number of polyforms with n cells on the faces of a pentagonal icositetrahedron up to rotation. A383808

Number of (n+1) X 4 0..3 arrays with every 2 X 2 subblock summing to 6. A183636

Number of (n+1) X 7 0..3 arrays with every 2 X 2 subblock summing to 6. A183639

Number of nX6 0..1 arrays with every element unequal to 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317900

Expansion of ∏_k>=1 (1 + x^k + x^k+2). A345729

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317902

Half the number of non-self-intersecting paths from one corner of an n X n grid to the opposite corner. A53512