Properties of the Number 79563

Seventy-Nine Thousand Five Hundred Sixty-Three

Basics

Value: 79562 → 79563 → 79564

Parity: odd

Prime: No

Previous Prime: 79561

Next Prime: 79579

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 2411

Divisors: 1, 3, 11, 33, 2411, 7233, 26521, 79563

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011011001011

Octal: 233313

Duodecimal: 3A063

Hexadecimal: 136cb

Square: 6330270969

Square Root: 282.06914046027794

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. 1/((1-x)*(1-4·x)*(1-9·x)*(1-11·x)). A21964

Number of n X 5 nonnegative integer arrays with upper left 0 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A252833

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A252836

a(n) = a(n,m) = ∑_k=0..n binomial(m·k,k)*binomial(m*(n-k),n-k) for m=7. A79563