Properties of the Number 42065

Forty-Two Thousand Sixty-Five

Basics

Value: 42064 → 42065 → 42066

Parity: odd

Prime: No

Previous Prime: 42061

Next Prime: 42071

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 47 × 179

Divisors: 1, 5, 47, 179, 235, 895, 8413, 42065

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010001010001

Octal: 122121

Duodecimal: 20415

Hexadecimal: a451

Square: 1769464225

Square Root: 205.09753777166608

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.: C - Z; where C is the g.f. for the Catalan numbers (A000108) and Z is the g.f. for A055113 with offset 0. A111160

arctan(sec(x)*tanh(x))=x-1/3!*x³+25/5!*x⁵-761/7!*x⁷+42065/9!*x⁹... A12835

Number of connected switching classes of signed graphs with n nodes. A84565

Expansion of log(1+tan(x)/cosh(x)). A9381

Expansion of e.g.f. log(cosh(x) + tan(x)). A13187

Array a(n,m) = ((n+2)/2)^m*∑_k=1..n+1 1/sin(k*π/(n+2))^2m, n>=0, k>=0, read by ascending antidiagonals. A247239

Denominators of continued fraction convergents to sqrt(556). A42065