Properties of the Number 45655

Forty-Five Thousand Six Hundred Fifty-Five

Basics

Value: 45654 → 45655 → 45656

Parity: odd

Prime: No

Previous Prime: 45641

Next Prime: 45659

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 23 × 397

Divisors: 1, 5, 23, 115, 397, 1985, 9131, 45655

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001001010111

Octal: 131127

Duodecimal: 22507

Hexadecimal: b257

Square: 2084379025

Square Root: 213.67030678126523

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

Number of integer compositions of n whose leaders of strictly decreasing runs are themselves strictly decreasing. A374763

Expansion of 1/(1-x-x⁵-x⁶). A121832

Divisors of 2⁴⁴ - 1. A3549

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 25 ones. A31793

Number of 2n-bead balanced binary strings, rotationally equivalent to reversed complement. A45655

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(3r+k,r) * binomial(r,n-r)/(3·r+k) for k > 0. A378323

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0. A255777