Properties of the Number 58268

Fifty-Eight Thousand Two Hundred Sixty-Eight

Basics

Value: 58267 → 58268 → 58269

Parity: even

Prime: No

Previous Prime: 58243

Next Prime: 58271

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 2081

Divisors: 1, 2, 4, 7, 14, 28, 2081, 4162, 8324, 14567

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110001110011100

Octal: 161634

Duodecimal: 29878

Hexadecimal: e39c

Square: 3395159824

Square Root: 241.38765502817247

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)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nXk array. A219410

Number of paths from (0,1) to the line x = n, each consisting of segments given by the vectors (1,1), (1,2), (1,-1), with vertices (i,k) satisfying 0 <= k <= 3. A247353

Number of partitions of n into two sorts of parts having exactly 2 parts of the second sort. A258472

Expansion of (1+6·x)/((1-2·x-x²)*(1-x)²). A51959

Numbers n such that 30n-13, 30n-11, 30n-1, 30n+1, 30n+11, 30n+13 are all prime. A175683

Unmatched value maps: number of 2 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 2 X n array. A219411

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UD, HH and DU. A329664

An approximation to sigma_1/2(n): ceiling( ∑_d∣n sqrt(d) ). A58268