Properties of the Number 42544

Forty-Two Thousand Five Hundred Forty-Four

Basics

Value: 42543 → 42544 → 42545

Parity: even

Prime: No

Previous Prime: 42533

Next Prime: 42557

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 2659

Divisors: 1, 2, 4, 8, 16, 2659, 5318, 10636, 21272, 42544

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1010011000110000

Octal: 123060

Duodecimal: 20754

Hexadecimal: a630

Square: 1809991936

Square Root: 206.2619693496598

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 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically. A202795

T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any king-move neighbor in a random 0..3 nXk array. A219569

Number of n X 2 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically. A202789

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 9 (most significant digit on right and removing all least significant zeros before concatenation). A29526

Number of 4-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions. A187174

Number of (n+1) X (2+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). A235283

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 305", based on the 5-celled von Neumann neighborhood. A271162

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

Numerators of continued fraction convergents to sqrt(801). A42544

a(n) = n for n <= 3; for n > 3, a(n) is the smallest unused positive number that shares a factor with the largest odd divisor of a(n-1). A373698