Properties of the Number 42717

Forty-Two Thousand Seven Hundred Seventeen

Basics

Value: 42716 → 42717 → 42718

Parity: odd

Prime: No

Previous Prime: 42709

Next Prime: 42719

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 491

Divisors: 1, 3, 29, 87, 491, 1473, 14239, 42717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011011011101

Octal: 123335

Duodecimal: 20879

Hexadecimal: a6dd

Square: 1824742089

Square Root: 206.68091348743357

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 k such that σ(φ(k)) - φ(σ(k)) is nonzero and divisible by σ(k), that is A065395(k)/A000203(k) is a nonzero integer. A92588

Place two n-gons with radii 1 and 2 concentrically, forming an annular area between them. Connect all the vertices with line segments that lie entirely within that area. Then a(n) is the number of edges in that figure. A337702

Expansion of (1+x)c(x²)/((1-xc(x²))*sqrt(1-4x²)), c(x) the g.f. of A000108. A117186

Odd numbers n divisible by 3 such that for all k >= 1 the numbers n·2^k + 1 and n·2^k+1 + 1 do not form a pair of primes. A243857

Denominators of continued fraction convergents to sqrt(888). A42717

Number of (n+2) X 6 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order. A204638