Properties of the Number 52617

Fifty-Two Thousand Six Hundred Seventeen

Basics

Value: 52616 → 52617 → 52618

Parity: odd

Prime: No

Previous Prime: 52609

Next Prime: 52627

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17539

Divisors: 1, 3, 17539, 52617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110110001001

Octal: 146611

Duodecimal: 26549

Hexadecimal: cd89

Square: 2768548689

Square Root: 229.3839575907609

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

Numbers n > 1 such that n⁵ - 2 has no prime factor > n. A83955

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317380

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317382

Multiplicity of highest weight (or singular) vectors associated with character chi₁₂₄ of Monster module. A34512

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317383

E.g.f. (1+x-x²)/((1-x)(1-2x)). A52617