Properties of the Number 85956

Eighty-Five Thousand Nine Hundred Fifty-Six

Basics

Value: 85955 → 85956 → 85957

Parity: even

Prime: No

Previous Prime: 85933

Next Prime: 85991

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 13 × 19 × 29

Divisors: 1, 2, 3, 4, 6, 12, 13, 19, 26, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111111000100

Octal: 247704

Duodecimal: 418B0

Hexadecimal: 14fc4

Square: 7388433936

Square Root: 293.18253699700466

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 ∏_k>=1 (1 + 4·x^k). A261568

a(n) = 81·n² - 69·n + 24. A304616

Number of distinct solutions of sum{i=1..5}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1. A180797

T(n,k)=number of distinct solutions to sum{i=1..k}(x(2i-1)*x(2i)) == 0 (mod n), with x() in 0..n-1. A180803

Smallest prime p such that (2n)*p +1 and (p-1)/(2n) are prime, or 0 if no such prime exists. A85956

G.f. satisfies: A(x) = ∑_n>=0 q^n*(n+1/2) where q = x·A(x)⁸. A194043