Properties of the Number 13982

Thirteen Thousand Nine Hundred Eighty-Two

Basics

Value: 13981 → 13982 → 13983

Parity: even

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 6991

Divisors: 1, 2, 6991, 13982

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010011110

Octal: 33236

Duodecimal: 8112

Hexadecimal: 369e

Square: 195496324

Square Root: 118.2455073142316

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) = (n³ - 2·n² + 3·n + 2)/2. A189890

Number of (n+1) X (4+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction. A250607

Smallest k > 1 such that none of k² + 0, k² + 1, k² + 2,..., k² + n are squarefree. A271817

Squarefree semiprimes (products of two distinct primes) between sphenic numbers (products of three distinct primes). A362507

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction. A250611

Expansion of 1/(1-x²-x³-x⁴-x⁵). A13982

Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically. A208167