Properties of the Number 93300

Ninety-Three Thousand Three Hundred

Basics

Value: 93299 → 93300 → 93301

Parity: even

Prime: No

Previous Prime: 93287

Next Prime: 93307

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 311

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110001110100

Octal: 266164

Duodecimal: 45BB0

Hexadecimal: 16c74

Square: 8704890000

Square Root: 305.4504869860253

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

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A162659. A380178

Expansion of 8*η(2*τ)⁸/η(τ)¹⁶ + η(τ/2)⁸/η(τ)¹⁶. A105095

Expansion of (1 - x)^-2 * ∑_j>=0 (x^j / (1 - ∑_k=1..j x^k)). A369115

a(n) = sum{k=0..floor(n/2), C(2·n-3·k, n)*C(n-k, k)}. A105871

Expansion of Product (1+q^2k-1)^-8*(1+q^4k)^-8, k=1..inf. A34998

Maximal values of m=a²+b²=c²+d² for each x=a+b+c+d=6·p (p=any odd prime). A93300