Properties of the Number 54252

Fifty-Four Thousand Two Hundred Fifty-Two

Basics

Value: 54251 → 54252 → 54253

Parity: even

Prime: No

Previous Prime: 54251

Next Prime: 54269

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 11 × 137

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001111101100

Octal: 151754

Duodecimal: 27490

Hexadecimal: d3ec

Square: 2943279504

Square Root: 232.92058732538007

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

Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from an n·n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle. A360354

a(n) = sum of all divisors of all numbers k such that n² <= k < (n+1)². A168012

Rooted labeled Ptolemaic graphs on n nodes. A287885

Number of nXn 0..1 arrays with every element unequal to 0, 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317758

Triangle T(n,k) of n X n binary matrices with k=0..n² ones under action of dihedral group of the square D₄. A54252

Number of defective 3-colorings of an n X 6 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229635