Properties of the Number 5066

Five Thousand Sixty-Six

Basics

Value: 5065 → 5066 → 5067

Parity: even

Prime: No

Previous Prime: 5059

Next Prime: 5077

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 17 × 149

Divisors: 1, 2, 17, 34, 149, 298, 2533, 5066

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111001010

Octal: 11712

Duodecimal: 2B22

Hexadecimal: 13ca

Square: 25664356

Square Root: 71.17583859709698

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 of n into divisors of n. A18818

Monotonic ordering of set S generated by these rules: if·and y are in S then x² + y² is in S, and 1 is in S. A192476

Number of partitions of n in which the greatest part is 8. A26814

Sums of nonconsecutive factorial numbers. A60112

Lexicographically earliest sequence containing 3 and all positive integers n such that the prime indices of n - 1 already belong to the sequence. A324703

Least sum of 3 distinct nonzero squares in exactly n ways. A25415

Number of partitions of n into unitary divisors of n. A66874

Number of compositions (ordered partitions) of n into distinct parts, the least being 3. A339164

a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways. A25414

Start with a single pentagon; at n-th generation add a pentagon at each expandable vertex (this is the "vertex to side" version); a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247904