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Properties of the Number 52941

Fifty-Two Thousand Nine Hundred Forty-One

Basics

Value: 52940 → 52941 → 52942

Parity: odd

Prime: No

Previous Prime: 52937

Next Prime: 52951

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 2521

Divisors: 1, 3, 7, 21, 2521, 7563, 17647, 52941

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111011001101

Octal: 147315

Duodecimal: 26779

Hexadecimal: cecd

Square: 2802749481

Square Root: 230.08911317139714

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 (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,1 or 2,-2. A264090
Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., cm) where c1 = mini>=1 ci and cj = mini>=j ci or cj = maxi>=j ci; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A344855
Number of permutations of [n] having six cycles of the form (c1, c2, ..., cm) where c1 = mini>=1 ci and cj = mini>=j ci or cj = maxi>=j ci. A346321
Number of (n+1)X(6+1) arrays of permutations of 0..n·7+6 with each element having index change +-(.,.) 0,0 0,1 or 2,-2. A264088
Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 with each element having index change +-(.,.) 0,0 0,1 or 2,-2. A264091
Expansion of (1-x)/(1 - 4·x + x2 + x3). A52941
Number of equal spheres setting a new density record in relation to the volume of the spherical layer that is occupied by the spheres when arranged touching the surface of a container sphere according to the criterion of maximizing their minimum mutual distance. A342559