Properties of the Number 53851

Fifty-Three Thousand Eight Hundred Fifty-One

Basics

Value: 53850 → 53851 → 53852

Parity: odd

Prime: No

Previous Prime: 53849

Next Prime: 53857

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ³ × 157

Divisors: 1, 7, 49, 157, 343, 1099, 7693, 53851

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101001001011011

Octal: 151133

Duodecimal: 271B7

Hexadecimal: d25b

Square: 2899930201

Square Root: 232.05818235951085

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

Structured small rhombicubeoctahedral numbers. A100149

Expansion of g.f. 1/((1-6·x)*(1-8·x)*(1-9·x)). A20579

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 57 ones. A31825

Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302431

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302427

Number of n X n matrices over GF(3) of order dividing 6 (i.e., number of solutions of X⁶=I in GL(n,3)). A53851