Properties of the Number 42579

Forty-Two Thousand Five Hundred Seventy-Nine

Basics

Value: 42578 → 42579 → 42580

Parity: odd

Prime: No

Previous Prime: 42577

Next Prime: 42589

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 19 × 83

Divisors: 1, 3, 9, 19, 27, 57, 83, 171, 249, 513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011001010011

Octal: 123123

Duodecimal: 20783

Hexadecimal: a653

Square: 1812971241

Square Root: 206.34679546821172

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

Numbers n such that there are precisely 15 groups of orders n and n + 1. A295995

Number of Fibonacci binary words of length n having no 0110 subword. A Fibonacci binary word is a binary word having no 00 subword. A130137

Number of (w,x,y,z) with all terms in {1,...,n} and w>=average{x,y,z}. A212089

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3. A37608

Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304467

Denominators of continued fraction convergents to sqrt(818). A42579

E.g.f. A(x) satisfies: [xⁿ] A(x)^-n = (2·n - 3) * [x^n-1] A(x)^-n for n>=1. A301386

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384975. A384978