Properties of the Number 20301

Twenty Thousand Three Hundred One

Basics

Value: 20300 → 20301 → 20302

Parity: odd

Prime: No

Previous Prime: 20297

Next Prime: 20323

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 67 × 101

Divisors: 1, 3, 67, 101, 201, 303, 6767, 20301

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111101001101

Octal: 47515

Duodecimal: B8B9

Hexadecimal: 4f4d

Square: 412130601

Square Root: 142.48157775656472

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

Numbers k such that the decimal digits of φ(k) are a permutation of those of k. A115921

Start with a single square; at n-th generation add a square at each expandable vertex (this is the "vertex to side" version); a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247903

Expansion of g.f. (1-2·x+51·x²)/(1-x)³. A257352

Pseudoprimes to base 4, written in base 4. A262101

Pseudoprimes to base 6, written in base 6. A262103

Triangular numbers with sum of digits = 6. A68128

Numbers such that the digital sums in bases 2, 3, 5 and 7 all are equal. A135127

Base 2i representation of nonnegative integers. A212494

Number of inequivalent (mod D₃) ways to place 3 points on a triangular grid of side n so that they are not vertices of an equilateral triangle with sides parallel to the grid. A243208

Triangular numbers T(k) that have the same number of divisors as their successors T(k+1). A319035