Properties of the Number 48213

Forty-Eight Thousand Two Hundred Thirteen

Basics

Value: 48212 → 48213 → 48214

Parity: odd

Prime: No

Previous Prime: 48197

Next Prime: 48221

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 487

Divisors: 1, 3, 9, 11, 33, 99, 487, 1461, 4383, 5357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110001010101

Octal: 136125

Duodecimal: 23A99

Hexadecimal: bc55

Square: 2324493369

Square Root: 219.57458869368287

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

Number of 2's in the last section of the set of partitions of n. A182712

a(n) = ∑_k=0..n (-1)^n-k*A000041(k). A87787

For a given unrestricted partition π, let P(π)=λ(π), if μ(π)=0. If μ(π)>0 then let P(π)=ν(π), where ν(π) is the number of parts of π greater than μ(π), μ(π) is the number of ones in π and λ(π) is the largest part of π. A100818

Number of unlabeled bicolored acyclic graphs with n nodes of each color. A329055

Number of 2's in all partitions of 2n+1 that do not contain 1 as a part. A182717

Number of non-equivalent ways (mod D₂) to select 4 points from n equidistant points on a straight line so that no selected point is equally distant from two other selected points. A300761

Floor(sqrt(2·3ⁿ)). A221944

Index of the smallest triangular number greater than 3ⁿ. A266498

Generating function: 1/((1-x)*(1-x²)²*(1-x³)³*(1-x⁴)⁴). A64349

Array read by antidiagonals: T(n,m) is the number of unlabeled bicolored acyclic graphs with n nodes of one color and m of the other. A329052