Properties of the Number 15159

Fifteen Thousand One Hundred Fifty-Nine

Basics

Value: 15158 → 15159 → 15160

Parity: odd

Prime: No

Previous Prime: 15149

Next Prime: 15161

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 31 × 163

Divisors: 1, 3, 31, 93, 163, 489, 5053, 15159

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101100110111

Octal: 35467

Duodecimal: 8933

Hexadecimal: 3b37

Square: 229795281

Square Root: 123.12189082368741

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 permutations of (1,...,n) having n-5 inversions (n>=5). A5283

2-ranks of difference sets constructed from Glynn type II hyperovals. A49114

Number of reduced words of length n in the Weyl group A₁₁. A161459

Auxiliary r(n) sequence used to prove some properties about Rowland's sequence: r(1) = 1, and r(n) = 1/2*(c(n)+1), where c(n) is A190894, for n>1. A190895

The continued fraction of the constant r > sqrt(3) such that the partial quotients equal the integer floor of the powers of r. A227233

Mahonian numbers T(n,7) (cf. A008302). A242657

Numbers k such that k![6]-2 is prime, where k![6] = A085158 (k) = sextuple factorial. A283485

a(n) = nⁿ - ∑_k=1..n-2 f_k(n), with f_k(n)=( floor( (nⁿ - ∑_t=1..k-1 f_t(n))^1/(n-k) ) )^n-k. A349184

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 82. A31580

Numbers whose base-5 representation contains exactly three 1's and three 4's. A45262