Properties of the Number 65223

Sixty-Five Thousand Two Hundred Twenty-Three

Basics

Value: 65222 → 65223 → 65224

Parity: odd

Prime: No

Previous Prime: 65213

Next Prime: 65239

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7247

Divisors: 1, 3, 9, 7247, 21741, 65223

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111011000111

Octal: 177307

Duodecimal: 318B3

Hexadecimal: fec7

Square: 4254039729

Square Root: 255.38794020078552

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

Number of sequences of length n with elements {-2,-1,+1,+2}, counted up to simultaneous reversal and negation, such that the sum of elements of the whole sequence but of no proper subsequence equals 0 modulo n. For n>=4, the number of Hamiltonian (undirected) cycles on the circulant graph C_n(1,2). A137726

Expansion of (3-2·x)/(1-x-x³)+x/(1-x)²+x/(1-x²). A226509

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood. A272824

Fill a triangular array by rows by writing numbers 1 up to b(0), 1 up to b(1), etc., where b(n) are the heptagonal numbers (A000566). The final elements of the rows form a(n). A65223