9805

9805 is a natural number that follows 9804 and precedes 9806. In mathematics, it is an odd, composite integer.

Its prime factorization is 5 × 37 × 53, making 9805 squarefree with three distinct prime factors. Because it is divisible by 5, its last digit is 5. The Euler totient of 9805 is 7488, calculated as φ(9805) = 9805 × (1 − 1/5) × (1 − 1/37) × (1 − 1/53) = 7488. This reflects the count of integers up to 9805 that are coprime to 9805.

In base representations, 9805 can be expressed as follows: binary 10011001001101₂, hexadecimal 0x264D, and octal 23115₈. These representations reflect its factorization and size in different numeral systems.

In other contexts, 9805 may appear as a four- or five-digit identifier in catalogs, datasets, or model numbers. Beyond its role as a specific integer, there are no widely recognized mathematical constants or theorems uniquely tied to the number 9805.

See also:

- List of natural numbers

- Squarefree number

- Euler’s totient function

- Prime factorization

Notes:

- As with many integers, 9805’s significance is primarily numerical and contextual, rather than tied to a particular named object or theorem.