Properties of the Number 42687

Forty-Two Thousand Six Hundred Eighty-Seven

Basics

Value: 42686 → 42687 → 42688

Parity: odd

Prime: No

Previous Prime: 42683

Next Prime: 42689

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 17 × 31

Divisors: 1, 3, 9, 17, 27, 31, 51, 81, 93, 153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011010111111

Octal: 123277

Duodecimal: 20853

Hexadecimal: a6bf

Square: 1822179969

Square Root: 206.60832509848194

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 that are the sum of 3 positive cubes in 3 or more ways. A25398

Numbers that are the sum of 3 positive cubes in exactly 3 ways. A25397

Expansion of 3·x*(1+2·x)/(1-3·x-3·x²). A85480

a(n) = T(2n-1,n-2), T given by A026536. A26546

The Wiener index of the Dutch windmill graph D(6,n) (n>=1). A180578

Expansion of (1-q)^k/∏_j=1..k (1-q^j) for k=16. A275644

1/(Integral_x=0..1 x^{x^(xⁿ}) dx - 1/2), rounded to the nearest integer. A322009

Expansion of (2-3·x)/(1-3·x-3·x²). A172012

Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1. A264423

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 + x/(1 - 2^k*x/(1 + 3^k*x/(1 - 4^k*x/(1 + 5^k*x/(1 - ...)))))). A291207