Properties of the Number 42745

Forty-Two Thousand Seven Hundred Forty-Five

Basics

Value: 42744 → 42745 → 42746

Parity: odd

Prime: No

Previous Prime: 42743

Next Prime: 42751

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 83 × 103

Divisors: 1, 5, 83, 103, 415, 515, 8549, 42745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011011111001

Octal: 123371

Duodecimal: 208A1

Hexadecimal: a6f9

Square: 1827135025

Square Root: 206.74863965695155

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

Consider the base-6 Kaprekar map n->K(n) defined in A165051. Sequence gives numbers belonging to cycles, including fixed points. A165056

Consider the base-6 Kaprekar map n->K(n) defined in A165051. Sequence gives numbers belonging to cycles of length greater than 1. A165058

Triangle T(n,k) of number of strongly connected digraphs on n unlabeled nodes and with k arcs, k=0..n*(n-1). A57276

Denominators of continued fraction convergents to sqrt(616). A42183

The growth series for the affine Weyl group F₄. A266784

Expansion of x*(1-x)*(3-13·x+24·x²-17·x³-18·x⁴+35·x⁵-3·x⁶-14·x⁷+x⁹) / (1-7·x+20·x²-30·x³+16·x⁴+20·x⁵-32·x⁶+6·x⁷+11·x⁸-2·x⁹-x¹⁰). A323270

Primes whose sum of digits is 8. A62343

Denominators of continued fraction convergents to sqrt(903). A42745

Number of nX4 0..1 arrays avoiding 0 0 1 horizontally and 0 1 1 vertically. A206781