Properties of the Number 15798

Fifteen Thousand Seven Hundred Ninety-Eight

Basics

Value: 15797 → 15798 → 15799

Parity: even

Prime: No

Previous Prime: 15797

Next Prime: 15803

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2633

Divisors: 1, 2, 3, 6, 2633, 5266, 7899, 15798

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11110110110110

Octal: 36666

Duodecimal: 9186

Hexadecimal: 3db6

Square: 249576804

Square Root: 125.69009507514902

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

Total number of parts in all partitions of n plus the sum of largest parts of all partitions of n. A211978

T(n,k)=Number of arrays of 2n nondecreasing integers in -k..k with sum zero and equal numbers greater than zero and less than zero. A203291

a(n) = number of steps to reach 0 when starting from k = n³ and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261227

Consecutive internal states of the linear congruential pseudo-random number generator (171·s + 11213) mod 53125 when started at 1. A385039

Coefficient of q² in ν(n), where ν(0)=1, ν(1)=b and, for n>=2, ν(n)=b*ν(n-1)+λ*(1+q+q²+...+q^n-2)*ν(n-2) with (b,λ)=(1,3). A74356

Numbers k such that (k!-9)/9 is prime. A139204

T(n,k)=Number of nXk arrays of the minimum or maximum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nXk array. A220109

Number of partitions of n with up to nine distinct kinds of 1. A320696

Start the sequence S with a(1) = 1008973 and extend S with a(n)/2 when a(n) is even, otherwise with a(n) + the smallest prime not yet added. A388141

Number of arrays of 2n nondecreasing integers in -6..6 with sum zero and equal numbers greater than zero and less than zero. A203289