Properties of the Number 99858

Ninety-Nine Thousand Eight Hundred Fifty-Eight

Basics

Value: 99857 → 99858 → 99859

Parity: even

Prime: No

Previous Prime: 99839

Next Prime: 99859

Digit Sum: 39

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 17 × 89

Divisors: 1, 2, 3, 6, 11, 17, 22, 33, 34, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000011000010010

Octal: 303022

Duodecimal: 49956

Hexadecimal: 18612

Square: 9971620164

Square Root: 316.0031645411166

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 degree-n irreducible polynomials over GF(2); number of n-bead necklaces with beads of 2 colors when turning over is not allowed and with primitive period n; number of binary Lyndon words of length n. A1037

a(n) = (1/n) * ∑_{d divides n} μ(n/d) * (2^d - 1). A59966

∏_k>=11/(1 - x^k)^a(k) = 1 + 2x. A38063

Table read by antidiagonals where A(n,k) is the number of n X k aperiodic binary toroidal necklaces. A323861

Inverse Weigh transform of 2ⁿ. A306156

∏_k>=1 (1 + x^k)^a(k) = 1 + 2x. A38067

Number of orbits of length n in map whose periodic points are A000051. A60477

Related to sums of the n-th roots of unity: sums in a circular wedge (excluding the origin). A107847

Number of subsets of {1,2,..n} that sum to 1 mod n. A64355

Number of solutions to +-1 +- 2 +- 3 +- ... +- n == n-1 (mod n). A300329