Properties of the Number 99128

Ninety-Nine Thousand One Hundred Twenty-Eight

Basics

Value: 99127 → 99128 → 99129

Parity: even

Prime: No

Previous Prime: 99119

Next Prime: 99131

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 12391

Divisors: 1, 2, 4, 8, 12391, 24782, 49564, 99128

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11000001100111000

Octal: 301470

Duodecimal: 49448

Hexadecimal: 18338

Square: 9826360384

Square Root: 314.8459940987022

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.: ∑_n>=0 (x^2·n-1 + 1)ⁿ * xⁿ / (1 + x^2·n+1)ⁿ⁺¹, an even function. A326602

McKay-Thompson series of class 12e for Monster. A58493

McKay-Thompson series of class 12f for the Monster group. A112149

a(n) = (n-1)! * ∑_d∣n d^n/d / (d-1)!. A354849

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252189

Number of orbits of the wreath product of S_n with S_n on n X n matrices over {0,1,2,3,4,5,6,7,8,9}. A99128

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

a(n) = least k such that the prime tower factorizations of k and k+1 both contain the n-th prime. A286068