Properties of the Number 20209

Twenty Thousand Two Hundred Nine

Basics

Value: 20208 → 20209 → 20210

Parity: odd

Prime: No

Previous Prime: 20201

Next Prime: 20219

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 2887

Divisors: 1, 7, 2887, 20209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111011110001

Octal: 47361

Duodecimal: B841

Hexadecimal: 4ef1

Square: 408403681

Square Root: 142.15836239912164

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

G.f. A(x) satisfies A(x) = 1 + x³ * A(x)² / (1 - x). A346503

a(n) = ∑_k=0..n p(k)ⁿ, where p(k) is the partition function A000041. A259437

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones. A31860

Smallest integers at which the value of truncated Mertens function equals the n-th primorial, the product of first n prime numbers. A93775

Numbers k such that k!4 + 2⁵ is prime, where k!4 = k!!!! is the quadruple factorial number (A007662). A291345

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, -1, 1), (1, 0, -1)}. A148842

Numbers k such that (86·10^k - 311)/9 is prime. A293911

Pseudoprimes to base 81. A20209