Properties of the Number 85932

Eighty-Five Thousand Nine Hundred Thirty-Two

Basics

Value: 85931 → 85932 → 85933

Parity: even

Prime: No

Previous Prime: 85931

Next Prime: 85933

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 11 × 31

Divisors: 1, 2, 3, 4, 6, 7, 9, 11, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111110101100

Octal: 247654

Duodecimal: 41890

Hexadecimal: 14fac

Square: 7384308624

Square Root: 293.1416040073466

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) = denominator of Bernoulli(2n)/(2n). A6953

Denominators from e.g.f. 1/(1-exp(-x)) - 1/x. A75180

For odd n, a(n) = 2; for even n, a(n) = denominator of Bernoulli(n)/n; The number 2 alternating with the elements of A006953. A185633

T(n,k)=Number of nXk 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by both a 1 and a 0. A203371

G.f. A(x) satisfies A(x) = 1 + x⁴*(1+x)²*A(x)³. A366592

a(n) is the period of the oscillating pattern formed by a 1 X n line of cells in the Life-like cellular automaton B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i, or 0 if the pattern vanishes. A298819

Number of n X 4 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201371

Number of n X 3 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by both a 1 and a 0. A203366

Number of nX6 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by both a 1 and a 0. A203369

T(n, k) = [x^k] (1/2 - x)^-n - (1 - x)^-n. A356117