Properties of the Number 51607

Fifty-One Thousand Six Hundred Seven

Basics

Value: 51606 → 51607 → 51608

Parity: odd

Prime: Yes

Previous Prime: 51599

Next Prime: 51613

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 51607

Divisors: 1, 51607

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100110010111

Octal: 144627

Duodecimal: 25A47

Hexadecimal: c997

Square: 2663282449

Square Root: 227.17174120035264

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

Primes p such that prime(p)² - 2 = prime(q) for some prime q. A261354

Primes of the form prime(i)*prime(i+1)+prime(i+2)*prime(i+3)+...+prime(k-1)*prime(k). A340465

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = (primes). A25117

Numbers k such that the first 9 digits of the k-th Lucas number are 1-9 pandigital. A216489

The number of lit cells in weakly decreasing partitions of n when light shines from the north west and only the first column is lit. Here partitions are represented from left to right by columns of cells. A366175

Engel expansion of ζ(10) = ∑_i>0 1/i¹⁰. A67918

a(n) = (3·n+7)!!!/7!!!. A51607