Properties of the Number 30192

Thirty Thousand One Hundred Ninety-Two

Basics

Value: 30191 → 30192 → 30193

Parity: even

Prime: No

Previous Prime: 30187

Next Prime: 30197

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 17 × 37

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010111110000

Octal: 72760

Duodecimal: 15580

Hexadecimal: 75f0

Square: 911556864

Square Root: 173.75845303178778

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 (1 + x)/(1 + x + 3·x²). A110523

Expansion of (χ(q) / χ³(q³))² in powers of q where χ() is a Ramanujan θ function. A164614

Expansion of (χ(-x) / χ³(-x³))² in powers of·where χ() is a Ramanujan θ function. A216046

a(n) = n*(n+1)*(n+2)*(n+3)*(n²+3·n+26)/720. A257200

Expansion of ∏_n>0 ((1-xⁿ)/(1+xⁿ))^n² in powers of x. A285988

The number of edges on a concave circular triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. A340687

Sum of tetrahedral numbers A000292(k), with k in the reduced residue system modulo n. A189918

a(n) = ∑_{k=0..floor(4·n/7)} binomial(k+2,4·n-7·k). A390219

a(n) = ∑_{k=0..floor(n/2)} binomial(k+2,4·n-8·k+2). A390222

Total sum of odd parts in all compositions of n. A102713