Properties of the Number 17440

Seventeen Thousand Four Hundred Forty

Basics

Value: 17439 → 17440 → 17441

Parity: even

Prime: No

Previous Prime: 17431

Next Prime: 17443

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 5 × 109

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010000100000

Octal: 42040

Duodecimal: A114

Hexadecimal: 4420

Square: 304153600

Square Root: 132.06059215375342

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

EULER transform of A001511. A92119

a(n) = (1/n) * ∑_d∣n moebius(n/d) * Lucas(d)⁴, where Lucas(n) = A000204(n). A203855

Triangle of coefficients of polynomials P(n; x) = Permanent(M), where M=[m(i,j)] is n X n matrix defined by m(i,j)=x if 0<=i-j<=2 else m(i,j)=1. A80061

Numbers of isomers of unbranched a-4-catapolypentagons - see Brunvoll reference for precise definition. A121133

Triangular array: the fission of ((x+1)ⁿ) by ((2x+1)ⁿ). A193858

Simple continued fraction expansion of product {n >= 0} {1 - sqrt(m)*[sqrt(m) - sqrt(m-1)]^4·n+3}/{1 - sqrt(m)*[sqrt(m) - sqrt(m-1)]^4·n+1} at m = 3. A221074

Number of permutations p of {1,2,...,n} such that p(i) - i < 0 or p(i) - i > 2 for all i. A1887

Number of sets S = {a₁, a₂, ..., a_k}, with 1 < a_i < a_j <= n such that no a_j divides the product of all the others. A23995

Row sums of correlation triangle for (1+x)³/(1-x). A115293

Mirror of the triangle A193858. A193859