Properties of the Number 14944

Fourteen Thousand Nine Hundred Forty-Four

Basics

Value: 14943 → 14944 → 14945

Parity: even

Prime: No

Previous Prime: 14939

Next Prime: 14947

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 467

Divisors: 1, 2, 4, 8, 16, 32, 467, 934, 1868, 3736

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101001100000

Octal: 35140

Duodecimal: 8794

Hexadecimal: 3a60

Square: 223323136

Square Root: 122.245654319489

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) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235239

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,1,3}. A79957

a(n) = sum of all divisors of all numbers k such that n² <= k < (n+1)². A168012

a(n) = 15·n² - 13·n. A263226

The sum of the lengths of the 2-compositions of n. A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n. The length of the 2-composition is the number of columns. A181290

Expansion of 1/E(q/E(q)) where E(q) = ∏_n>=1 (1 - qⁿ). A238440

Number of lines through at least 2 points of an 8 X n grid of points. A160848

E.g.f.: A(x) = Series_Reversion[ x - ∑_n>=2 (-x)ⁿ/(n(n-1)/2) ]. A180715

Expansion of φ(x)² / φ(-x²) in powers of·where φ() is a Ramanujan θ function. A260314

Square array A(n,k), n > 0, k > 0, read by downward antidiagonals: A(n,k) is the number of columns in all k-compositions of n. A382818