Properties of the Number 66329

Sixty-Six Thousand Three Hundred Twenty-Nine

Basics

Value: 66328 → 66329 → 66330

Parity: odd

Prime: No

Previous Prime: 66301

Next Prime: 66337

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 19 × 3491

Divisors: 1, 19, 3491, 66329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000001100011001

Octal: 201431

Duodecimal: 32475

Hexadecimal: 10319

Square: 4399536241

Square Root: 257.5441709687874

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 primitive (=aperiodic) 9-ary words with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A320093

1/9 the number of (n+1) X 8 0..2 arrays with all 2 X 2 subblocks having the same four values. A184046

G.f. A(x) satisfies: A(x) = 1 + x·A(x)⁴ - x²/A(x)¹³. A295534

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, -1), (1, -1, -1), (1, 0, 1)}. A148541

T(n,k) = 1/9 the number of (n+1) X (k+1) 0..2 arrays with all 2 X 2 subblocks having the same four values. A184048

Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 1, 3, 5 respectively, while the other bits have their usual weights. -1 if no such string exists. A66329

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302816