Properties of the Number 13329

Thirteen Thousand Three Hundred Twenty-Nine

Basics

Value: 13328 → 13329 → 13330

Parity: odd

Prime: No

Previous Prime: 13327

Next Prime: 13331

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1481

Divisors: 1, 3, 9, 1481, 4443, 13329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000010001

Octal: 32021

Duodecimal: 7869

Hexadecimal: 3411

Square: 177662241

Square Root: 115.45128842936315

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302322

Number of ways to fill a matrix with the parts of a strict integer partition of n. A323301

a(n) = n*(5·n²-8·n+5)/2. A226449

Expansion of ∏_k>=1 1/(1-x^k)^binomial(k+6,7). A255965

G.f. satisfies A(x) = (1 + x·A(x)) * (1 - x·A(x)³). A364375

a(n) = T(n,n+4), T given by A027023. A27026

Antidiagonal sums of triangle A186084. A186505

Expansion of ∏_k>=0 1/(1-x^4·k+1)³. A261632

Odd numbers for which σ(k) is congruent to 2 modulo 4 and the 3-adic valuation of k is one larger than the 3-adic valuation of σ(k). A351534

a(n) = T(n,2n-9), T given by A027023. A27033