Properties of the Number 53347

Fifty-Three Thousand Three Hundred Forty-Seven

Basics

Value: 53346 → 53347 → 53348

Parity: odd

Prime: No

Previous Prime: 53327

Next Prime: 53353

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 7621

Divisors: 1, 7, 7621, 53347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000001100011

Octal: 150143

Duodecimal: 26A57

Hexadecimal: d063

Square: 2845902409

Square Root: 230.96969498183088

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

Wiener index of a benzenoid consisting of a zig-zag chain of n hexagons (s=13; see the Gutman et al. reference). A193393

E.g.f.: exp( ∑_n>=1 A000041(n)*xⁿ/n ), where A000041(n) is the number of partitions of n. A215915

Expansion of (1/x) * Series_Reversion( x/(1+7·x+9·x²) ). A386362

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = ∑_j=0..n k^j * binomial(n,j) * Catalan(j+1). A386408

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∑_j>=1 j^k-1*A000041(j)*x^j). A293796

Numbers k such that 2^2k-1 + 2^k + 1 is prime. A108062

a(n) = binomial(n+7, 7)*(n+4)/4. A53347

Number of nX2 0..7 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A203437