Properties of the Number 13976

Thirteen Thousand Nine Hundred Seventy-Six

Basics

Value: 13975 → 13976 → 13977

Parity: even

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 1747

Divisors: 1, 2, 4, 8, 1747, 3494, 6988, 13976

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11011010011000

Octal: 33230

Duodecimal: 8108

Hexadecimal: 3698

Square: 195328576

Square Root: 118.2201336490532

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..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal. A232515

Number of regions in a "frame" of size n X n (see Comments for definition). A331776

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ ∑_k>=0 y^k * R_k(y)ⁿ ]ⁿ for n>=0, with R₀(y) = 1. A124540

T(n,k) = Number of n X k nonnegative integer arrays with upper left 0 and lower right n+k-6 and value increasing by 0 or 1 with every step right or down. A252930

Row 5 of rectangular table A124540; equals the self-convolution 5th power of A124535 (row 5 of table A124530). A124545

a(n) = A014486(A179754(n)). A179755

Main diagonal of rectangular table A124540. A124547

Number of cubic equations ax³ + bx² + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having three real roots, of which at least two are equal. A155192

a(n) = (15·n² + 5·n + 2)/2. A93500

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) with no valleys at level 0. A191388