Properties of the Number 52680

Fifty-Two Thousand Six Hundred Eighty

Basics

Value: 52679 → 52680 → 52681

Parity: even

Prime: No

Previous Prime: 52673

Next Prime: 52691

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 439

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110111001000

Octal: 146710

Duodecimal: 265A0

Hexadecimal: cdc8

Square: 2775182400

Square Root: 229.52124084711636

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..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. A232023

The number of P-positions in the game of Nim with up to 4 piles, allowing for piles of zero, such that the number of objects in each pile does not exceed n. A241522

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood. A280143

Array of coefficients of characteristic polynomials of M_n, the n X n matrix with entries m_i,j = i mod j. A78924

Number of nX5 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. A232020

Number of 3Xn 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. A232025

Number of maximal matchings in the n-triangular graph. A297484

Number of (undirected) cycles on the n X 4 king graph. A339198

Expansion of e.g.f. (1-2·x)/(1-4·x+2·x²). A52680

Number of nX4 0..1 arrays avoiding 0 0 1 horizontally and 0 1 1 vertically. A206781