Properties of the Number 45664

Forty-Five Thousand Six Hundred Sixty-Four

Basics

Value: 45663 → 45664 → 45665

Parity: even

Prime: No

Previous Prime: 45659

Next Prime: 45667

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 1427

Divisors: 1, 2, 4, 8, 16, 32, 1427, 2854, 5708, 11416

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001001100000

Octal: 131140

Duodecimal: 22514

Hexadecimal: b260

Square: 2085200896

Square Root: 213.6913662270893

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

A Chebyshev transform of the Padovan-Jacobsthal numbers. A99492

Number of 5-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions. A187175

Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A235285

Addends k > 0 such that the polynomial x² + x + k produces a record of its Hardy-Littlewood Constant. A331940

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A235289

Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reversed complement. A45664

Number of nX4 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302220