Properties of the Number 20305

Twenty Thousand Three Hundred Five

Basics

Value: 20304 → 20305 → 20306

Parity: odd

Prime: No

Previous Prime: 20297

Next Prime: 20323

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 31 × 131

Divisors: 1, 5, 31, 131, 155, 655, 4061, 20305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111101010001

Octal: 47521

Duodecimal: B901

Hexadecimal: 4f51

Square: 412293025

Square Root: 142.4956139675885

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

Expansion of 1/(1 - 12·x + x²). A4191

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Chebyshev polynomial of the second kind U_n(x), evaluated at x=k. A323182

Chebyshev polynomial of the second kind U(4,n). A144139

Denominators of continued fraction convergents to sqrt(35). A41059

Prime time numbers on 6-digit clocks: numbers of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60. A295014

Number of ordered multiset partitions of integer partitions of n where the sequence of GCDs of the partitions is weakly increasing. A319001

Number of ordered rooted trees where each subtree from given node has the same number of nodes. A127525

a(n) = n⁴ - 3·n² + 1. A57722

Chebyshev polynomial of the second kind U[n,x] evaluated at x=n+2. A107995

Number triangle associated to Chebyshev polynomials of the second kind. A228161