Properties of the Number 17345

Seventeen Thousand Three Hundred Forty-Five

Basics

Value: 17344 → 17345 → 17346

Parity: odd

Prime: No

Previous Prime: 17341

Next Prime: 17351

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 3469

Divisors: 1, 5, 3469, 17345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001111000001

Octal: 41701

Duodecimal: A055

Hexadecimal: 43c1

Square: 300849025

Square Root: 131.70041761513136

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293076

Expansion of (1-x)/(1 - 3·x + x²)². A1870

a(n) = (4·n³ - 6·n² + 8·n + 3)/3. A161712

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - x - x². A367208

EULER transform of 3, 2, 2, 2, 2, 2, 2, 2, ... A713

Numbers k such that A163511(k) is a fifth power. A365802

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (Fibonacci numbers). A24458

Number of 0's in even position in all Fibonacci binary words of length n. A Fibonacci binary word is a binary word having no 00 subword. A129722

Number of meanders of length n. A199932

Sign twisted convoluted convolved Fibonacci numbers H_j². A89098