Properties of the Number 15999

Fifteen Thousand Nine Hundred Ninety-Nine

Basics

Value: 15998 → 15999 → 16000

Parity: odd

Prime: No

Previous Prime: 15991

Next Prime: 16001

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 5333

Divisors: 1, 3, 5333, 15999

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111001111111

Octal: 37177

Duodecimal: 9313

Hexadecimal: 3e7f

Square: 255968001

Square Root: 126.4871534978948

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302150

Positions of 3's in A264977; positions of 6's in A277330. A277713

Expansion of (1 - x)/(1 - 2·x - 2·x² - x³). A77995

a(n) = 10·n² - 1. A158447

a(n) = smallest index i such that A010062(i) >= 2ⁿ. A229167

Bases in which 5 is a unique-period prime. A306074

a(n) is the smallest m such that for any N, at least one of S(N), S(N+1), ..., S(N+m-1) is divisible by n, where S(N) is the sum of digits of N. A331788

Smallest unhappy number that takes n steps to reach any of the unhappy cycle (4, 16, 37, 58, 89, 145, 42, 20) under iteration of sum of squares of digits map. A94406

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 345", based on the 5-celled von Neumann neighborhood. A281221

a(n) = 40·n² - 1. A158598