Properties of the Number 14017

Fourteen Thousand Seventeen

Basics

Value: 14016 → 14017 → 14018

Parity: odd

Prime: No

Previous Prime: 14011

Next Prime: 14029

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 107 × 131

Divisors: 1, 107, 131, 14017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011011000001

Octal: 33301

Duodecimal: 8141

Hexadecimal: 36c1

Square: 196476289

Square Root: 118.3934119788766

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) = 11ⁿ-5ⁿ+1. A155644

Expansion of g.f. (x²+x+1)*(2·x²+2·x+1)*(x-1)²/((1-x²-2·x³)*(x⁴+1)). A107850

Numbers m with C(2·m, m) + prime(m) prime, where C(2·m, m) = (2·m)!/(m!)². A236242

Sequence of pairwise relatively prime numbers of class P₇ (see comment in A275246). A275252

G.f.: -1 + ∏_k>=1 (1 + prime(k)*x^prime(k)). A2099

Number of 4 X n -1,1 arrays such that the sum over i=1..4,j=1..n of i·x(i,j) is zero and rows are nondecreasing (ways to put n thrusters pointing east or west at each of 4 positions 1..n distance from the hinge of a south-pointing gate without turning the gate). A225311

Coefficients of polynomials arising from applying the complete Bell polynomials to k!B_k(x) where B_k(x) are the Bernoulli polynomials. A276998

[ Sum{(sqrt(j+1)-sqrt(i+1))³} ], 1 <= i < j <= n. A25223

Numbers n such that 219·2ⁿ-1 is prime. A50861

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 35", based on the 5-celled von Neumann neighborhood. A269815