Properties of the Number 13727

Thirteen Thousand Seven Hundred Twenty-Seven

Basics

Value: 13726 → 13727 → 13728

Parity: odd

Prime: No

Previous Prime: 13723

Next Prime: 13729

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 37 × 53

Divisors: 1, 7, 37, 53, 259, 371, 1961, 13727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110011111

Octal: 32637

Duodecimal: 7B3B

Hexadecimal: 359f

Square: 188430529

Square Root: 117.16228061966018

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 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298629

a(n) = 10·n²+n. A55437

(A178476(n)-3)/9. A178486

Length of n-th run of consecutive primes in A375564. A376195

Numbers k such that k + sopfr(k) is a cube. A389862

Numbers k such that k and k+1 are both divisible by the total binary weight of their divisors (A093653). A338514

Expansion of ∏_{k > 0} (1 + f(k)*x^k), where f(n) = A147952(n). A147953

Numbers n such that φ(σ(n)) = σ(n) - φ(n). A230372

Numbers k that divide 10^k+1-1. A175203

G.f.: (1-2·x²)/(1-2·x-5·x²+9·x³). A200862