Properties of the Number 82113

Eighty-Two Thousand One Hundred Thirteen

Basics

Value: 82112 → 82113 → 82114

Parity: odd

Prime: No

Previous Prime: 82073

Next Prime: 82129

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 101 × 271

Divisors: 1, 3, 101, 271, 303, 813, 27371, 82113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000011000001

Octal: 240301

Duodecimal: 3B629

Hexadecimal: 140c1

Square: 6742544769

Square Root: 286.55365989636215

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 planted trees where non-root, non-leaf nodes an even distance from root are of degree 2. A7562

G.f.: ∑_k>=0 x^k * ∏_j=1..4·k (1 + x^j)/(1 - x^j). A385090

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 545", based on the 5-celled von Neumann neighborhood. A283011

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 801", based on the 5-celled von Neumann neighborhood. A284135

Expansion of ( (1/x) * Series_Reversion( x * ((1-x) / C(x))⁴ ) )^1/4, where C(x) is the g.f. of A000108. A381820

Numbers n dividing every cyclic permutation of n⁴. A242740

Number of partitions of n satisfying cn(0,5) <= cn(2,5) + cn(3,5). A39840

a(n) = n⁴ + 5·n² + 1. A82113