Properties of the Number 8205

Eight Thousand Two Hundred Five

Basics

Value: 8204 → 8205 → 8206

Parity: odd

Prime: No

Previous Prime: 8191

Next Prime: 8209

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 547

Divisors: 1, 3, 5, 15, 547, 1641, 2735, 8205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000001101

Octal: 20015

Duodecimal: 48B9

Hexadecimal: 200d

Square: 67322025

Square Root: 90.58145505565695

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

a(n) = 2ⁿ + n. A6127

Number of ways to choose a constant partition of each part of a constant partition of n. A279789

Nonprimes k such that 3^k == 3 (mod k). A122780

Number of integer partitions of n such that either the run-lengths or the negated run-lengths are unimodal. A332746

Squarefree numbers n for which A019565(n) < n and A048675(n) is also squarefree. A285319

Sum of the squarefree parts of the partitions of n into 9 parts. A309485

Numbers 1 through 10000 sorted lexicographically in binary representation. A190126

Terms of A122780 which are not Carmichael numbers A002997. A153514

Numbers n such that p = n² + 2, p+2 and p+6 are consecutive primes. A86380

Sums of three Mersenne primes. A174055