Properties of the Number 99600

Ninety-Nine Thousand Six Hundred

Basics

Value: 99599 → 99600 → 99601

Parity: even

Prime: No

Previous Prime: 99581

Next Prime: 99607

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 83

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010100010000

Octal: 302420

Duodecimal: 49780

Hexadecimal: 18510

Square: 9920160000

Square Root: 315.59467676119

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 (φ³(q³) / φ(q)) * (ψ(-q³) / ψ³(-q)) in powers of q where φ(), ψ() are Ramanujan θ functions. A164617

Expansion of (χ(-q³)/ χ³(-q) -1)/3 in powers of q where χ() is a Ramanujan θ function. A128129

Expansion of (1/3) * (c(q)² / c(q²)) / (b(q²)² / b(q)) in powers of q where b(), c() are cubic AGM θ functions. A128641

Expansion of (1/3) * (c(q²)² / c(q)) / (b(q²)² / b(q)) in powers of q where b(), c() are cubic AGM θ functions. A128640

Base 5 digital convolution sequence. A33642

Expansion of (theta₃(z)*theta₃(23z) + theta₂(z)*theta₂(23z))⁶. A328094

Number of ways to place 4 nonattacking amazons (superqueens) on an n X n toroidal board. A178974

Numbers k such that k and k² use only the digits 0, 1, 2, 6 and 9. A136830

Inventory application: Numerator of the probability (rounded to the nearest trillionth: (10^-12)-th) of at least one shortage per month when n customers each request one item on one independently-chosen random day of a 30-day month, but when only exactly one such item is available per day. A99600