Properties of the Number 83181

Eighty-Three Thousand One Hundred Eighty-One

Basics

Value: 83180 → 83181 → 83182

Parity: odd

Prime: No

Previous Prime: 83177

Next Prime: 83203

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 17 × 233

Divisors: 1, 3, 7, 17, 21, 51, 119, 233, 357, 699

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010011101101

Octal: 242355

Duodecimal: 40179

Hexadecimal: 144ed

Square: 6919078761

Square Root: 288.41116483243155

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

Numbers k divisible by at least one nontrivial permutation (rearrangement) of the digits of k, excluding all permutations that result in digit loss. A90056

Expansion of e.g.f. 1 / (1 - x * (exp(x) - 1))³. A375661

Integer part of log(nⁿ)^{1 + log(log(1 + n})). A62479

Nearest integer to log(nⁿ)^{1 + log(log(1 + n})). A62480

G.f. satisfies A(x) = 1 + x·cycle_index(G,A(x)) where G = cyclic group of order 13 generated by (1,2,...,13). A36730

Number of strings of numbers x(i=1..n) in 0..6 with sum i⁴*x(i) equal to n⁴*6. A184345

a(1)=1, a(n) = smallest positive integer not included earlier such that the partial sums of a(A000040) are composite and the partial sums of a(A002808) are primes. A83181