Properties of the Number 13996

Thirteen Thousand Nine Hundred Ninety-Six

Basics

Value: 13995 → 13996 → 13997

Parity: even

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 3499

Divisors: 1, 2, 4, 3499, 6998, 13996

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010101100

Octal: 33254

Duodecimal: 8124

Hexadecimal: 36ac

Square: 195888016

Square Root: 118.30469136936202

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

a(n) = ∑_i=0..2·n ∑_j=0..n-1 A026519(j, i). A26534

Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct nonnegative integers chosen from the range 0..n. A97401

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192974

Consider a square drawn on the perimeter of a square lattice with side length n. a(n) is the number of regions inside the square after drawing unit circles centered at each interior lattice point of the square. A339623

a(n) = floor( binomial(n,8)/9). A11845

Numbers n such that triangular numbers T(n), T(n+1) and T(n+2) are 3-almost primes. A255200

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones. A31844

a(1) = 13; for n > 1, if a(n-1) is even, then a(n) = a(n-1)/2; otherwise, a(n) = a(n-1) + prime(a(n-1)). A358166

Number of edge-disjoint paths between opposite corners of 7 X n grid. A13996