Properties of the Number 13968

Thirteen Thousand Nine Hundred Sixty-Eight

Basics

Value: 13967 → 13968 → 13969

Parity: even

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 97

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11011010010000

Octal: 33220

Duodecimal: 8100

Hexadecimal: 3690

Square: 195105024

Square Root: 118.18629362155326

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

Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331452

Number of cells formed by connecting all the 4n points on the perimeter of an n X n square by straight lines; a(0) = 0 by convention. A255011

Number of integer partitions of n whose greatest part is at most one more than the sum of the other parts. A336106

Numbers k such that σ(x) = k has exactly 9 solutions. A60665

The sum of the elements within a jump in a Sieve of Eratosthenes table. A179545

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281765

Expansion of (ψ(x²) / ψ(-x))³ in powers of·where ψ() is a Ramanujan θ function. A1937

Numbers divisible by at least four of their digits, different and >1. A187238

T(n,k)=Number of nXk 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..3 array without adjacent equal elements in the latter. A229320

Expansion of (ψ(x²) / ψ(x))³ in powers of·where ψ() is a Ramanujan θ function. A187053