Properties of the Number 42562

Forty-Two Thousand Five Hundred Sixty-Two

Basics

Value: 42561 → 42562 → 42563

Parity: even

Prime: No

Previous Prime: 42557

Next Prime: 42569

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 1637

Divisors: 1, 2, 13, 26, 1637, 3274, 21281, 42562

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011001000010

Octal: 123102

Duodecimal: 2076A

Hexadecimal: a642

Square: 1811523844

Square Root: 206.30559856678636

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

Expansion of (1+x⁴*C)*C³, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71744

Numerators of continued fraction convergents to sqrt(810). A42562

G.f.: A(x,y) = ∑_n=-oo..+oo (-1)ⁿ * (x·y)^n*(n+1/2) * C(x)ⁿ, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows n >= 0. A355344

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