Properties of the Number 9231

Nine Thousand Two Hundred Thirty-One

Basics

Value: 9230 → 9231 → 9232

Parity: odd

Prime: No

Previous Prime: 9227

Next Prime: 9239

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 181

Divisors: 1, 3, 17, 51, 181, 543, 3077, 9231

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000001111

Octal: 22017

Duodecimal: 5413

Hexadecimal: 240f

Square: 85211361

Square Root: 96.0780932366999

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

Number of integer partitions y of n such that ∏_{i in y} prime(i)/i is an integer. A324925

Expansion of ∏_k>=1 1/(1-x^k+6)^k. A263362

Squares where knight moving to a lowest unvisited square on a spirally numbered board will have no available moves. A323714

Expansion of 1/((1 - x)*(1 - 4·x + 2·x²)). A35344

Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of b. A96032

Number of partitions p of n such that (number of even numbers in p) >= (number of odd numbers in p). A241639

Coefficients of the D-Dyson mod 27 identity. A104504

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} σ( n/gcd(x₁, x₂, x₃, n) ). A373130

G.f.: (1 + ∑_{i >= 0} 2ⁱ*x^{2^(i+1}-1)) / (1-x)³. A63916

E.g.f. sqrt(1+2·x*exp(2·x)). A191498