Properties of the Number 42718

Forty-Two Thousand Seven Hundred Eighteen

Basics

Value: 42717 → 42718 → 42719

Parity: even

Prime: No

Previous Prime: 42709

Next Prime: 42719

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 31 × 53

Divisors: 1, 2, 13, 26, 31, 53, 62, 106, 403, 689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011011011110

Octal: 123336

Duodecimal: 2087A

Hexadecimal: a6de

Square: 1824827524

Square Root: 206.6833326613445

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

A089450 indexed by A000040. A89525

Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k). A63968

Number of ways that a 1 X n rectangular tile T, marked into n unit squares, can be surrounded by one layer of copies of itself laid in the plane grid generated by the units of T. Ways that differ by rotation or reflection are not counted as different. The surrounded tile is the exact surrounded region. A159294

a(n) = ∑_k=1..n-1 k²*φ(k) + n²*φ(n)/2, where φ = A000010. A333293

Quintuple primorial n##### = n#5. A114421

Numerators of continued fraction convergents to sqrt(889). A42718

Subtraction of polynomial coefficients of MacMahon A060187 from third derivative of Pascal's triangle A155863: p(x,n)=(If[n == 0, 1, xⁿ + 1 + x·D[( x + 1)^{n + 1}, {x, 3}]] - 2ⁿ*(1 - x)^{1 + n}*LerchPhi[x, -n, 1/2])/x. A155871