Properties of the Number 42381

Forty-Two Thousand Three Hundred Eighty-One

Basics

Value: 42380 → 42381 → 42382

Parity: odd

Prime: No

Previous Prime: 42379

Next Prime: 42391

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 277

Divisors: 1, 3, 9, 17, 51, 153, 277, 831, 2493, 4709

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010110001101

Octal: 122615

Duodecimal: 20639

Hexadecimal: a58d

Square: 1796149161

Square Root: 205.86646157157313

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) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal pyramidal numbers in exactly n ways, or -1 if no such number exists. A350397

Expansion of x*(1-4·x-3·x²)/(1-5·x+5·x³+x⁴). A107377

a(n) = (2·n³ + 5·n² + 11·n)/2. A162263

Expansion of 1/((1-3x)(1-4x)(1-5x)(1-10x)). A28029

Denominators of continued fraction convergents to sqrt(717). A42381