Properties of the Number 66946

Sixty-Six Thousand Nine Hundred Forty-Six

Basics

Value: 66945 → 66946 → 66947

Parity: even

Prime: No

Previous Prime: 66943

Next Prime: 66947

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 11 × 17 × 179

Divisors: 1, 2, 11, 17, 22, 34, 179, 187, 358, 374

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010110000010

Octal: 202602

Duodecimal: 328AA

Hexadecimal: 10582

Square: 4481766916

Square Root: 258.7392509844612

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

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207717

Triangle, read by rows, where the g.f. of row n divided by (1-x)ⁿ yields the g.f. of column n in the triangle A122888, for n>=1. A122890

Triangle, read by rows n>=1, where row n is the n-th differences of column n of array A158825, where the g.f. of row n of A158825 is the n-th iteration of x·Catalan(x). A158830

Secondary diagonal of triangle A122890. A122892

Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207713

Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207721

Square array of coefficients in the successive iterations of x·C(x) = (1-sqrt(1-4·x))/2 where C(x) is the g.f. of the Catalan numbers (A000108); read by antidiagonals. A158825

Numbers n such that φ(φ(n)) + σ(σ(n)) - φ(σ(n)) - σ(φ(n)) = σ(n). A66946