Properties of the Number 36305

Thirty-Six Thousand Three Hundred Five

Basics

Value: 36304 → 36305 → 36306

Parity: odd

Prime: No

Previous Prime: 36299

Next Prime: 36307

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 53 × 137

Divisors: 1, 5, 53, 137, 265, 685, 7261, 36305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110111010001

Octal: 106721

Duodecimal: 19015

Hexadecimal: 8dd1

Square: 1318053025

Square Root: 190.53870997778904

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) = 2ⁿ * ∑_k=0..n k^p*q^k, where p=3, q=-1/2. A232604

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)³. A372928

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

Composite squarefree numbers n such that p(i)-4 divides n+4, where p(i) are the prime factors of n. A225704

Dirichlet g.f.: ζ(s-3)² * (1 - 2^4-s) / ζ(s). A369101

Number of subsets of the first n primes whose elements have a prime root-mean-square. A339556

Fourth step in Goodstein sequences, i.e., g(6) if g(2)=n: write g(5)=A059934(n) in hereditary representation base 5, bump to base 6, then subtract 1 to produce g(6). A59935

Decimal expansion of 6^{6^(6⁶}) = 6^⁴. A241295

Composite numbers whose prime factors contain no digits other than 1 and 5. A36305

a(n) = 6^6⁶ mod n. A214128