Properties of the Number 87564

Eighty-Seven Thousand Five Hundred Sixty-Four

Basics

Value: 87563 → 87564 → 87565

Parity: even

Prime: No

Previous Prime: 87559

Next Prime: 87583

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7297

Divisors: 1, 2, 3, 4, 6, 12, 7297, 14594, 21891, 29188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011000001100

Octal: 253014

Duodecimal: 42810

Hexadecimal: 1560c

Square: 7667454096

Square Root: 295.9121491253781

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

Number of self-avoiding walks of length n from origin in strip Z X {0,1}. A38577

Indices of primes in the sequence defined by A(0) = 47, A(n) = 10·A(n-1) - 33 for n > 0. A101724

a(n) = if n mod 2 = 0 then 8·F(n)-n otherwise 8·F(n)-4, where F() = Fibonacci numbers A000045. A110935

Number of (n+2) X (3+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253505

Expansion of (1-x)^-1/(1+x-2·x²+2·x³). A77900

a(n) = smallest prime of the form n*(n+1)*(n+2)*...*(n+k) + 1, or 0 if no such prime exists. A87564