Properties of the Number 15966

Fifteen Thousand Nine Hundred Sixty-Six

Basics

Value: 15965 → 15966 → 15967

Parity: even

Prime: No

Previous Prime: 15959

Next Prime: 15971

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 887

Divisors: 1, 2, 3, 6, 9, 18, 887, 1774, 2661, 5322

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11111001011110

Octal: 37136

Duodecimal: 92A6

Hexadecimal: 3e5e

Square: 254913156

Square Root: 126.35663813191613

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 such that 2^k - 17 is prime. A59611

Array read by ascending antidiagonals where T(n,k) is the number of paths of length k from the origin to a facet of the cross polytope of size k in Zⁿ. A371064

E.g.f.: -LambertW(-x)/(1-x). A277505

Indices of even terms in A249064. A249557

Expansion of e.g.f. 1 - LambertW(-x/(1 - x))*(2 + LambertW(-x/(1 - x)))/2. A323772

Numbers n such that d(n-2) = d(n) = d(n+2) = 12 where d(n)=A000005(n). A190645

Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. A207045

Number of n-step self-avoiding walks on a 3D cubic lattice where no step is to a lattice point closer to the origin than the current point. A366058

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A207050

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically. A253397