Properties of the Number 53727

Fifty-Three Thousand Seven Hundred Twenty-Seven

Basics

Value: 53726 → 53727 → 53728

Parity: odd

Prime: No

Previous Prime: 53719

Next Prime: 53731

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 17909

Divisors: 1, 3, 17909, 53727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000111011111

Octal: 150737

Duodecimal: 27113

Hexadecimal: d1df

Square: 2886590529

Square Root: 231.79085400420786

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..1 arrays with every element equal to 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A298841

Numbers which can written in exactly four ways as a sum of two distinct nonzero pentagonal numbers. A333014

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 294", based on the 5-celled von Neumann neighborhood. A287505

Number of minimal edge covers in the n-Moebius ladder. A290470

Number of n X 3 0..1 arrays with every element equal to 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A298836

Triangle T(n,k) = ∑_d∣gcd(n,k) μ(d)*C(n/d,k/d) (n >= 1, 1 <= k <= n). A53727

The number of undirected, simple, unlabeled graphs G on n vertices which are prime, not split, and do not contain a vertex of degree 1 in G or in the complement of G, and has no induced P5 in G or in the complement of G. A385156