Properties of the Number 88641

Eighty-Eight Thousand Six Hundred Forty-One

Basics

Value: 88640 → 88641 → 88642

Parity: odd

Prime: No

Previous Prime: 88609

Next Prime: 88643

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 ² × 67

Divisors: 1, 3, 7, 9, 21, 27, 49, 63, 67, 147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101101001000001

Octal: 255101

Duodecimal: 43369

Hexadecimal: 15a41

Square: 7857226881

Square Root: 297.7263844539143

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

Centered octahedral numbers (crystal ball sequence for cubic lattice). A1845

Numbers that are the sum of four third powers in ten or more ways. A345155

Numbers that are the sum of four third powers in exactly ten ways. A345156

Numbers k such that σ(k² + 1) == 0 (mod k). A67719

a(n) = (9·n³ + 5·n)/2. A230018

Diagonal of the rational function 1/(1 - x - x y - x z - y z + x y z). A274674

Define f(k) = Floor[k/10]. Smallest prime p such that f(f(f(...r times, (p))))) is a multiple of r+1 for r = 0 to n-1. A88641