Properties of the Number 42517

Forty-Two Thousand Five Hundred Seventeen

Basics

Value: 42516 → 42517 → 42518

Parity: odd

Prime: No

Previous Prime: 42509

Next Prime: 42533

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 × 41 × 61

Divisors: 1, 17, 41, 61, 697, 1037, 2501, 42517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011000010101

Octal: 123025

Duodecimal: 20731

Hexadecimal: a615

Square: 1807695289

Square Root: 206.196508214858

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) = ∑_{k = 1..n} ( n/gcd(k, n) )⁴. A372965

Largest proper divisor of the n-th Carmichael number (A002997). A81703

a(n) = n*(2·n² + 5·n + 19)/2. A163675

G.f.: A(x) = x + ∑_n>=1 x^2·n / (1+x)^A193259(n). A193263

Denominators of r-Egyptian fraction expansion for π - 3, where r = (1,1/4,1/9,1/16,...). A270377

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 45. A31633

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (1, -1, 0), (1, -1, 1), (1, 1, 0)}. A149540

Expansion of e.g.f. (tan x + sec x)²*(E.g.f. for A000738). A292761

Denominators of continued fraction convergents to sqrt(787). A42517