Properties of the Number 66166

Sixty-Six Thousand One Hundred Sixty-Six

Basics

Value: 66165 → 66166 → 66167

Parity: even

Prime: No

Previous Prime: 66161

Next Prime: 66169

Digit Sum: 25

Digital Root: 7

Palindrome: Yes

Factorization: 2 × 33083

Divisors: 1, 2, 33083, 66166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001001110110

Octal: 201166

Duodecimal: 3235A

Hexadecimal: 10276

Square: 4377939556

Square Root: 257.227525743261

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 partitions with maximum rectangle n. A115724

Numbers having four 6's in base 10. A43516

Numbers n which in decimal have the form imj, where m is the middle digit, with property that j is the reversal of i, and i = m·j. A82945

a(n) = 6*(10^2·n+1-1)/9 - 5·10ⁿ. A332161

Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300495

Number of nX7 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300497

Near-repdigit semiprimes with 6 as repeated digit. A105987

Stanley's children's game. Class of n (named) children forms into rings with exactly one child inside each ring. We allow the case when outer ring has only one child. a(n) gives number of possibilities, including clockwise order (or which hand is held), in each ring. A66166

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300498

In base 10 lunar arithmetic, a(n) is the smallest number than has exactly n different square roots (or -1 if no such number exists). A202174