Properties of the Number 42816

Forty-Two Thousand Eight Hundred Sixteen

Basics

Value: 42815 → 42816 → 42817

Parity: even

Prime: No

Previous Prime: 42797

Next Prime: 42821

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 223

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011101000000

Octal: 123500

Duodecimal: 20940

Hexadecimal: a740

Square: 1833209856

Square Root: 206.920274502041

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(n) = [xⁿ] G(x)^{2^(n+1}) where G(x) satisfies: [xⁿ⁺¹] G(x)^2ⁿ = [xⁿ] G(x)^2ⁿ for n>=0 and G(2x) is the g.f. of A134084. A134087

Numbers k such that k·8^k + 1 is prime. A242178

θ series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4). A33693

Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k returns to the horizontal axis (both from above and below). The members of L_n are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A182898

Numbers k such that 427·2^k+1 is prime. A323114

Reversible Lynch-Bell numbers. A117954

Numerators of continued fraction convergents to sqrt(939). A42816