Properties of the Number 82936

Eighty-Two Thousand Nine Hundred Thirty-Six

Basics

Value: 82935 → 82936 → 82937

Parity: even

Prime: No

Previous Prime: 82913

Next Prime: 82939

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 7 × 1481

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 1481, 2962

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001111111000

Octal: 241770

Duodecimal: 3BBB4

Hexadecimal: 143f8

Square: 6878380096

Square Root: 287.986110776197

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

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125). A204128

a(n) = 64·n² - 8. A158487

Expansion of g.f. A(x) satisfying A(x)³ = ∑_n=-oo..+oo (-x)ⁿ * (A(x)⁴ + x^n-1)ⁿ⁺¹. A363136

a(n) = (1/(3·n))*∑_{d∣n, d even} φ(2·n/d)*binomial(3d/2,d). A82936