Properties of the Number 51166

Fifty-One Thousand One Hundred Sixty-Six

Basics

Value: 51165 → 51166 → 51167

Parity: even

Prime: No

Previous Prime: 51157

Next Prime: 51169

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 25583

Divisors: 1, 2, 25583, 51166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011111011110

Octal: 143736

Duodecimal: 2573A

Hexadecimal: c7de

Square: 2617959556

Square Root: 226.1990274072813

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 such that the number of parts having multiplicity >1 is a part and the number of distinct parts is not a part. A241411

a(n) = (117·n² - 99·n + 2)/2. A50408

Number of length n+4 0..7 arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248986

Number of length 6+4 0..n arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248993

T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248987

Sequence is defined by property that binomial transform of (a0,a1,a2,a3,...) = (a0,a0,a0,a1,a1,a1,a2,a2,a2,a3,a3,a3,...). A51166

Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element. A283199