Properties of the Number 66717

Sixty-Six Thousand Seven Hundred Seventeen

Basics

Value: 66716 → 66717 → 66718

Parity: odd

Prime: No

Previous Prime: 66713

Next Prime: 66721

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 353

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 353, 1059

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010010011101

Octal: 202235

Duodecimal: 32739

Hexadecimal: 1049d

Square: 4451158089

Square Root: 258.2963414375047

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 + x*∏_k>=1 (1 - x^k)). A331484

a(n) is the number of even permutations (of an n-set) with exactly 1 fixed point. A145219

Triangle read by rows: T(n,k) is the number of even permutations (of an n-set) with exactly k fixed points. A145224

Triangle T(n,k) for the number of permutations in symmetric group S_n with (n-k) fixed points and an even number of non-fixed point cycles. Equivalent to the number of cycles of n items with cycle type defined by non-unity partitions of k<=n that contain an even number of parts. A373417

The continued fraction for the "binary" Champernowne constant. A66717