Properties of the Number 81890

Eighty-One Thousand Eight Hundred Ninety

Basics

Value: 81889 → 81890 → 81891

Parity: even

Prime: No

Previous Prime: 81883

Next Prime: 81899

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 19 × 431

Divisors: 1, 2, 5, 10, 19, 38, 95, 190, 431, 862

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111111100010

Octal: 237742

Duodecimal: 3B482

Hexadecimal: 13fe2

Square: 6705972100

Square Root: 286.1642884777903

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 integer compositions of n whose maximal runs of k's all have length > k, for all k. A389511

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (1, 0, -1), (1, 1, 0)}. A148282

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ = [xⁿ] A(x)^n-1 for n>1 with A(0)=A'(0)=1. A158882

a(n) = 9ⁿ - 8ⁿ - 7ⁿ - 6ⁿ + 3·5ⁿ. A81890