Properties of the Number 82568

Eighty-Two Thousand Five Hundred Sixty-Eight

Basics

Value: 82567 → 82568 → 82569

Parity: even

Prime: No

Previous Prime: 82567

Next Prime: 82571

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 10321

Divisors: 1, 2, 4, 8, 10321, 20642, 41284, 82568

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001010001000

Octal: 241210

Duodecimal: 3B948

Hexadecimal: 14288

Square: 6817474624

Square Root: 287.34648075102643

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 a modular function for Gamma₀(6). A2507

Number of (n+1) X (5+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. A235951

Number of n X 3 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) (0,-1) or (-1,0) and new values introduced in order 0..2. A274798

Expansion of ∏_k>=1 (1 - x^18·k) * (1 - x^18·k-9) * (1 + x^k) / (1 - x^k). A280947

a(n) = 6·a(n-1) - a(n-2) - 2 with a(0) = 1, a(1) = 3. A11900

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) (0,-1) or (-1,0) and new values introduced in order 0..2. A274803

First nontrivial square root of unity mod A033949(n); i.e., smallest x > 1 such that x² == 1 mod A033949(n). A82568

Number of perfect matchings on a triangular lattice of width 4 and length n. A309117