Properties of the Number 67580

Sixty-Seven Thousand Five Hundred Eighty

Basics

Value: 67579 → 67580 → 67581

Parity: even

Prime: No

Previous Prime: 67579

Next Prime: 67589

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 31 × 109

Divisors: 1, 2, 4, 5, 10, 20, 31, 62, 109, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011111111100

Octal: 203774

Duodecimal: 33138

Hexadecimal: 107fc

Square: 4567056400

Square Root: 259.96153561632923

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

G.f. satisfies: A(x) = 1 + x·A(x)*A(-x) + x²*A(x)/A(-x). A209199

a(n) = 169·n² - n. A157998

a(n) = 676·n² - 2·n. A158392

a(n) = 400·n² - 20. A158597

Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 4 ones in any 5 X 5 X 5 subtriangle. A153935

a(n) = ∏_i=2..n A001222(i) * ∑_i=2..n 1/A001222(i). A67580