Properties of the Number 45309

Forty-Five Thousand Three Hundred Nine

Basics

Value: 45308 → 45309 → 45310

Parity: odd

Prime: No

Previous Prime: 45307

Next Prime: 45317

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 1373

Divisors: 1, 3, 11, 33, 1373, 4119, 15103, 45309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000011111101

Octal: 130375

Duodecimal: 22279

Hexadecimal: b0fd

Square: 2052905481

Square Root: 212.85910833224872

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 g.f.: ∏_n>=1 1/(1 - 3ⁿ*xⁿ)^3/3ⁿ. A110153

Number of length 5+3 0..n arrays with some disjoint pairs in every consecutive four terms having the same sum. A247537

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 395", based on the 5-celled von Neumann neighborhood. A271687

Primes congruent to {0, 2} mod 3. A45309

T(n,k)=Number of length n+3 0..k arrays with some disjoint pairs in every consecutive four terms having the same sum. A247533

The n-th term of the sequence is the last term of n's trajectory under the "multiply with zero" rules explained in A365993. A365994