Properties of the Number 13321

Thirteen Thousand Three Hundred Twenty-One

Basics

Value: 13320 → 13321 → 13322

Parity: odd

Prime: No

Previous Prime: 13313

Next Prime: 13327

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 7 × 11 × 173

Divisors: 1, 7, 11, 77, 173, 1211, 1903, 13321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000001001

Octal: 32011

Duodecimal: 7861

Hexadecimal: 3409

Square: 177449041

Square Root: 115.41663658242689

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

Centered 20-gonal (or icosagonal) numbers. A69133

Numbers k such that k![7]-1 is prime (where k![7] = A114799(k) = septuple factorial). A156167

Factorial expansion of A071156. A71158

Expansion of ∏_k>=1 1/(1 - x^2·k+3)^k. A263352

Irregular triangle read by rows: T(n,k) = number of signed unichromosonal genomes with n genes at 4-break distance k from a fixed genome, 0 <= k <= floor((n+1)/3). A264617

a(n) = (1/720)*n*(n - 10)*(n - 1)*(n³ - 34·n² + 181·n - 144). A319932

Smallest squarefree integer k such that Q(sqrt(k)) has class number n. A81363

a(n) = 36·n² - 55·n + 21. A157262

The reversing binary representation of the sum of the divisors of the n-th odd square: a(n) = A065621(A379223(n)). A379224

Expansion of ∏_k>=1 (1 - x^k)²¹. A10827