Properties of the Number 51757

Fifty-One Thousand Seven Hundred Fifty-Seven

Basics

Value: 51756 → 51757 → 51758

Parity: odd

Prime: No

Previous Prime: 51749

Next Prime: 51767

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 73 × 709

Divisors: 1, 73, 709, 51757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101000101101

Octal: 145055

Duodecimal: 25B51

Hexadecimal: ca2d

Square: 2678787049

Square Root: 227.50164834567684

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

Expansion of g.f. A(x) satisfying A(x)³ = A( x³/(1 - 3·x)³ ) / (1 - 3·x). A361762

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 23. A51988

Expansion of x*(1+9·x+2·x²)/((1-x)*(1-3·x+x²)). A121990

Expansion of g.f. A(x) satisfying A(x)³ = A( x³/(1 - 3·x)³ ). A361763

Consider problem of placing A051754(n) queens on an n X n board so that each queen attacks precisely 1 other. Sequence gives number of solutions up to square symmetry. A51757

Decimal expansion of ∑_k>=1 (1/k - sin(1/k)). A362752