Properties of the Number 51609

Fifty-One Thousand Six Hundred Nine

Basics

Value: 51608 → 51609 → 51610

Parity: odd

Prime: No

Previous Prime: 51607

Next Prime: 51613

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17203

Divisors: 1, 3, 17203, 51609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100110011001

Octal: 144631

Duodecimal: 25A49

Hexadecimal: c999

Square: 2663488881

Square Root: 227.17614311366412

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 in expanding space. A23880

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of ∏_j>=1 1/(1-x^j)^{j^(k·j}) in powers of x. A283674

Number of connected graphs on n vertices whose spectrum has fewer than n distinct eigenvalues. A242953

Numbers n with the property that n² contains a sequence of four or more consecutive 8's. A301938

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1101-0111-0001 pattern in any orientation. A147234

Numbers that are equal to the sum of the number of divisors of their first k arithmetic derivatives, for some k. A269459

a(n) = (3·n+9)!!!/9!!!, related to A032031 ((3·n)!!! triple factorials). A51609