Properties of the Number 9900

Nine Thousand Nine Hundred

Basics

Value: 9899 → 9900 → 9901

Parity: even

Prime: No

Previous Prime: 9887

Next Prime: 9901

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 ² × 11

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010101100

Octal: 23254

Duodecimal: 5890

Hexadecimal: 26ac

Square: 98010000

Square Root: 99.498743710662

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

Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k. A129575

a(n) = n*(n-1)²*(n-2). A47928

a(n) = (prime(n)+1)*(prime(n+1)+1)/4. A79079

10 times triangular numbers: a(n) = 5·n*(n + 1). A124080

Largest possible z-value of an integer solution (x,y,z) to 4/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z. The·and y components are in A075245 and A075246. A75247

Numbers m such that the largest digit in the decimal expansion of 1/m is 1. A333402

Numbers k such that φ(x) = k has exactly 11 solutions. A60674

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=11. A135196

Hexagonal matchstick numbers: a(n) = 3·n*(3·n+1). A45945

Triangle read by rows, where T(n,k) = (1/n)*∑_d|(n,k) φ(d) * binomial(n/d,k/d)² for n >= k > 0, with T(n,0) = 1 for n >= 0. A123610