Properties of the Number 85456

Eighty-Five Thousand Four Hundred Fifty-Six

Basics

Value: 85455 → 85456 → 85457

Parity: even

Prime: No

Previous Prime: 85453

Next Prime: 85469

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 7 ² × 109

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110111010000

Octal: 246720

Duodecimal: 41554

Hexadecimal: 14dd0

Square: 7302727936

Square Root: 292.3285822494954

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 ways of placing n nonattacking Queens of the Night on an n X n board. A102388

G.f.: exp( ∑_n>=1 A000204(n)⁵ * xⁿ/n ) where A000204 is the Lucas numbers. A203805

Number of divisors of 240ⁿ. A103532

Numbers k such that k-3, k-5, k-17, k-257, and k-65537 are all primes. A63825

a(n) = 109·n². A174339

Consecutive states of the linear congruential pseudo-random number generator (7200·s + 1) mod 23⁴ when started at s=1. A383162

a(n) = (1/n) * ∑_d∣n moebius(n/d) * Lucas(d)⁴, where Lucas(n) = A000204(n). A203855

∑_i=0..n ∑_j=0..i a(j) * a(i-j) = (-7)ⁿ. A85456