Properties of the Number 13768

Thirteen Thousand Seven Hundred Sixty-Eight

Basics

Value: 13767 → 13768 → 13769

Parity: even

Prime: No

Previous Prime: 13763

Next Prime: 13781

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 1721

Divisors: 1, 2, 4, 8, 1721, 3442, 6884, 13768

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111001000

Octal: 32710

Duodecimal: 7B74

Hexadecimal: 35c8

Square: 189557824

Square Root: 117.33712115098103

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

Number of partitions of n having depth 1; see Comments. A237685

Triangle T, read by rows, that satisfies the recurrence: T(n,k) = [T³](n-1,k-1) + [T³](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0, where T³ is the matrix third power of T. A113084

Number of subsets of {1..n} containing n such that it is possible to choose a different binary index of each element. A370639

Numbers n such that A242719(n) = (prime(n))²+1 and A242720(n) - A242719(n) = 2*(prime(n)+1). A246748

Triangular array read by rows: T(n, k) = number of occurrences of 2k as a sum |1 - p(1)| + |2 - p(2)| + ... + |n - p(n)|, where (p(1), p(2), ..., p(n)) ranges through the permutations of (1,2,...,n), for n >= 1, 0 <= k <= n-1. A357329

Number of partitions of n into 6 or more parts. A347542

Quadruples of different integers from [ 1,n ] with no common factors between pairs. A15623

Number of (w,x,y) with all terms in {0,...,n} and w<x+y and x<=y. A212982

Number of nonisomorphic unrooted unicursal planar maps with n edges and two vertices of valency 1 (unicursal means that exactly two vertices are of odd valency; there is an Eulerian path). A69725

Coordination sequence for MgCu2, Mg position. A9931