Properties of the Number 57629

Fifty-Seven Thousand Six Hundred Twenty-Nine

Basics

Value: 57628 → 57629 → 57630

Parity: odd

Prime: No

Previous Prime: 57601

Next Prime: 57637

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 11 × 13 ² × 31

Divisors: 1, 11, 13, 31, 143, 169, 341, 403, 1859, 4433

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110000100011101

Octal: 160435

Duodecimal: 29425

Hexadecimal: e11d

Square: 3321101641

Square Root: 240.06040906405204

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

Row sums of (A008550 formatted as a triangular array). A132745

Number of partitions p of n containing floor((min(p) + max(p))/2) as a part. A238482

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252190

A Fibonacci-like model in which each pair of rabbits dies after the birth of their 4th litter: a(n) = a(n-2) + a(n-3) + a(n-4) + a(n-5). A72465

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252184

Squares where A323811 gets stuck. A323815

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

Number of alternating sign 2n X 2n matrices invariant under flips in both diagonals. A57629