Properties of the Number 42771

Forty-Two Thousand Seven Hundred Seventy-One

Basics

Value: 42770 → 42771 → 42772

Parity: odd

Prime: No

Previous Prime: 42767

Next Prime: 42773

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 53 × 269

Divisors: 1, 3, 53, 159, 269, 807, 14257, 42771

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100010011

Octal: 123423

Duodecimal: 20903

Hexadecimal: a713

Square: 1829358441

Square Root: 206.81150838384212

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

Expansion of f(-x, -x⁵) * f(-x⁶) / f(-x)² in powers of·where f(, ) and f() are Ramanujan θ functions. A132302

Numbers that are the sum of seven fourth powers in exactly eight ways. A345830

Expansion of q^-2/3 * (ψ(-q³) / ψ(-q)³) * (c(q²) / 3) in powers of q where ψ() is a Ramanujan θ function and c() is a cubic AGM θ function. A132978

Expansion of f(x, x⁵) * f(-x⁶) / f(x)² in powers of·where f() is a Ramanujan θ function. A254346

Expansion of c(q) * c(q⁶) / c(q²)² in powers of q where c() is a cubic AGM θ function. A122830

a(n) = n³ - 3n² + 3. A177058

Magic sums of 3 X 3 semimagic squares composed of odd squares. A269297

Integers k equal to the sum over A024816(t) mod t, for some steps, starting with t = k and then using the result to feed the next calculation. A377002

Numbers equidistant from twin prime pairs that are also equidistant from numbers equidistant from twin prime pairs. A260517

Denominators of continued fraction convergents to sqrt(916). A42771