Properties of the Number 13810

Thirteen Thousand Eight Hundred Ten

Basics

Value: 13809 → 13810 → 13811

Parity: even

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 1381

Divisors: 1, 2, 5, 10, 1381, 2762, 6905, 13810

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010111110010

Octal: 32762

Duodecimal: 7BAA

Hexadecimal: 35f2

Square: 190716100

Square Root: 117.51595636338071

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 (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253350

Number of integer compositions of n that are the first sums of more than one composition. A391628

Triangle T(n,k): the number of binary sequences of n zeros and n ones in which the longest run is of length k. A229756

Numbers k such that the continued fraction for sqrt(k) has period 39. A20378

Sum of primes between n and n². A109818

Number of (n+1)X(5+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253347

Number of (2+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253351

a(n) = s(n+3)/3, where s(n) = A024725(n). A24726

Numbers k such that the number of primes between k and 2k (inclusive) = largest prime factor of k. A74810

Central coefficient of the triangle A097609. A212696