Properties of the Number 13802

Thirteen Thousand Eight Hundred Two

Basics

Value: 13801 → 13802 → 13803

Parity: even

Prime: No

Previous Prime: 13799

Next Prime: 13807

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 67 × 103

Divisors: 1, 2, 67, 103, 134, 206, 6901, 13802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111101010

Octal: 32752

Duodecimal: 7BA2

Hexadecimal: 35ea

Square: 190495204

Square Root: 117.48191350161096

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

The (1,1)-entry of the matrix Mⁿ, where M is the 5 X 5 matrix [[0,1,0,0,0],[0,0,1,0,0], [0,0,0,1,0], [0,0,0,0,1], [1,0,-1,1,1]]. A107293

Number A(n,k) of solid standard Young tableaux of n cells and height <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A215086

Numbers n such that n·6ⁿ - 1 is prime. A59675

Number of partitions of n with at most two even parts. A96778

G.f. satisfies: -1 = ∏_n>=1 (1-xⁿ) * (1 - xⁿ*A(x)) * (1 - x^n-1/A(x)), where g.f. A(x) = ∑_n>=0 a(n)/2*(x/4)ⁿ. A268301

G.f.: x * ∏_k>=1 (1 + k·x^k)^a(k). A308205

a(n) = 10000·log₁₀(n) rounded down. A4228

a(n) = 10000·log₁₀(n) rounded to the nearest integer. A4229

Number of integer points (x,y,z) at distance <= 0.5 from sphere of radius n. A16728

Numbers d_n used in recurrence for series-parallel numbers. A36655