Properties of the Number 51917

Fifty-One Thousand Nine Hundred Seventeen

Basics

Value: 51916 → 51917 → 51918

Parity: odd

Prime: No

Previous Prime: 51913

Next Prime: 51929

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 193 × 269

Divisors: 1, 193, 269, 51917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101011001101

Octal: 145315

Duodecimal: 26065

Hexadecimal: cacd

Square: 2695374889

Square Root: 227.85302280198084

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..3 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value. A267974

T(n,k)=Number of length-n 0..k arrays with no repeated value greater than the previous repeated value. A269435

T(n,k) = number of n X k 0..3 arrays with every repeated value in every row and column greater than or equal to the previous repeated value. A267997

Number of 1 X n 0..3 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value. A267975

Smallest m such that A258062(m) = n. A258063

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 11. A51976

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 294", based on the 5-celled von Neumann neighborhood. A271136

Inverse of n under Nim (or Conway) multiplication. A51917