Properties of the Number 47580

Forty-Seven Thousand Five Hundred Eighty

Basics

Value: 47579 → 47580 → 47581

Parity: even

Prime: No

Previous Prime: 47569

Next Prime: 47581

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 13 × 61

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100111011100

Octal: 134734

Duodecimal: 23650

Hexadecimal: b9dc

Square: 2263856400

Square Root: 218.1284025522582

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7. A252219

Maximal length of rook tour on an n X n+3 board. A152134

Numbers k such that ψ(k²) = k, ψ = A002322; indices of 1 in A341857. A341858

a(n+1) = a(n) * (a(n-1) + 1). A5831

Magic sums of 4 X 4 magic squares composed of odd squares. A271582

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7. A252213

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7. A252218

Number of edge cuts in the n-double cone graph. A377759

Number of inequivalent ways of placing 2 nonattacking rooks on n X n board up to rotations and reflections of the board. A307304

Numbers that are congruent to {1, 2, 5, 6, 7} mod 8. A47580