Properties of the Number 85527

Eighty-Five Thousand Five Hundred Twenty-Seven

Basics

Value: 85526 → 85527 → 85528

Parity: odd

Prime: No

Previous Prime: 85523

Next Prime: 85531

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 17 × 43

Divisors: 1, 3, 9, 13, 17, 39, 43, 51, 117, 129

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111000010111

Octal: 247027

Duodecimal: 415B3

Hexadecimal: 14e17

Square: 7314867729

Square Root: 292.44999572576506

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

a(n) = n*(n-1)*(n² + 2)/6. A71244

a(n) = ∑_{k=0..floor(3·n/5)} binomial(k+2,2) * binomial(k,3·n-5·k). A392314

a(n) = 100·n² - 151·n + 57. A157626

a(n) = ∑_{k=0..floor(2·n/5)} binomial(k+2,2) * binomial(k,2·n-5·k). A392270

The number of ways to color the vertices of all (11) simple unlabeled graphs on 4 nodes using at most n colors. A199394

a(n) = (2n+1)ⁿ. A85527

Number of nX7 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208419