Properties of the Number 23047

Twenty-Three Thousand Forty-Seven

Basics

Value: 23046 → 23047 → 23048

Parity: odd

Prime: No

Previous Prime: 23041

Next Prime: 23053

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 19 × 1213

Divisors: 1, 19, 1213, 23047

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101000000111

Octal: 55007

Duodecimal: 11407

Hexadecimal: 5a07

Square: 531164209

Square Root: 151.81238421156556

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..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors. A208864

L.g.f.: ∑_n>=1 a(n)*xⁿ/n = ∑_n>=1 xⁿ/n·exp( ∑_k>=1 σ(n·k)*x^n·k/k ). A203321

Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n. A212247

a(n) = Sum of (Y(2,p)²) over the partitions p of n, Y(2,p) = number of part sizes with multiplicity 2 or greater in p. A302347

a(n) = 1·t(n) + 2·t(n-1) + ... + k·t(n+1-k), where k=floor((n+1)/2) and t = A000032 (Lucas numbers). A23861

Number of n X 2 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors. A208858

Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors. A208861

Integers k such that A072473(k) = A072473(k+1) = A072473(k+2) = A072473(k+3). A255172

Interprimes which are of the form s·prime, s=19. A75294

a(n) is the position of a(n-1) in the decimal expansion of π, starting with a(1)=13. A119744