Properties of the Number 18332

Eighteen Thousand Three Hundred Thirty-Two

Basics

Value: 18331 → 18332 → 18333

Parity: even

Prime: No

Previous Prime: 18329

Next Prime: 18341

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 4583

Divisors: 1, 2, 4, 4583, 9166, 18332

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011110011100

Octal: 43634

Duodecimal: A738

Hexadecimal: 479c

Square: 336062224

Square Root: 135.39571632810248

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 factorizations of permutations of n letters into cycles in nondecreasing length order. A7841

The number of irreducible balanced subsets of [n]. A389802

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203787

E.g.f.: A(x,y) = exp(y)*P(x) - Q(x,y), where P(x) = 1/∏_n>=1 (1 - xⁿ/n) and Q(x,y) = ∑_n>=1 yⁿ / ∏_k=1..n (k - x^k). A249480

a(n) = n³ + (n+1)*(n+2). A270109

Triangle read by rows: T(n,k) is the number of ascent sequences of length n with last occurrence of the maximal value at position k-1. A218581

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and column. A269505

a(n) = A389802(2n+1). A389803

Second Moebius transform of A000219. Number of plane partitions of n whose multiset of rows is aperiodic and whose multiset of columns is also aperiodic. A323584

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293767