Properties of the Number 88636

Eighty-Eight Thousand Six Hundred Thirty-Six

Basics

Value: 88635 → 88636 → 88637

Parity: even

Prime: No

Previous Prime: 88609

Next Prime: 88643

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 22159

Divisors: 1, 2, 4, 22159, 44318, 88636

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101000111100

Octal: 255074

Duodecimal: 43364

Hexadecimal: 15a3c

Square: 7856340496

Square Root: 297.717987363881

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

T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and no two neighbors summing to zero. A199832

a(n) = ∑_k=1..n floor(n/k)⁴. A318743

Expansion of g.f. -x²*(2835·x²-1032·x-1)/(3149685·x³+88636·x²-1037·x-1). A133381

Number of -2..2 arrays x(0..n+1) of n+2 elements with zero sum and no two neighbors summing to zero. A199826

Number of -n..n arrays x(0..9) of 10 elements with zero sum and no two neighbors summing to zero. A199839

a(1) = 1, a(2n+1) - a(2n) = composite(n), a(2n) - a(2n-1) = prime(n). A88636