Properties of the Number 42857

Forty-Two Thousand Eight Hundred Fifty-Seven

Basics

Value: 42856 → 42857 → 42858

Parity: odd

Prime: No

Previous Prime: 42853

Next Prime: 42859

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 17 × 2521

Divisors: 1, 17, 2521, 42857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011101101001

Octal: 123551

Duodecimal: 20975

Hexadecimal: a769

Square: 1836722449

Square Root: 207.01932276963907

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

G.f. satisfies: A(x) = x/(x - B(x²)) where B(x/A(x)) = x and B(x) is the g.f. of A141200. A178852

a(n) = smallest k such that the digit sum of 7k is n. A77494

Structured triakis icosahedral numbers (vertex structure 4). A100172

a(n) = floor(((n mod 6)+1) * 10^floor((n/6)+1) / 7). A343915

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (composite numbers). A24461

Decimal expansion of sup{f(n,1)}, where f(1,x) = x + 1 and thereafter f(n,x) = x + 1 if n is in A001951, else f(n,x) = 1/x. A245218

Denominators of continued fraction convergents to sqrt(959). A42857

Decimal expansion of 360/7. A216606

Number of equal spheres setting a new density record in relation to the volume of the spherical layer that is occupied by the spheres when arranged touching the surface of a container sphere according to the criterion of maximizing their minimum mutual distance. A342559