9064

9064 is a natural number that follows 9063 and precedes 9065. In arithmetic terms, it is even and composite, with prime factorization 2^3 × 11 × 103. This factorization implies it has 16 positive divisors, and it is not a prime or a perfect square.

The sum of the digits of 9064 is 19, giving a digital root of 1. In modular arithmetic, 9064 is congruent to 1 modulo 3 and 1 modulo 9, and it is even, divisible by 8. Its representations in common bases include hexadecimal 0x2368, binary 10001101101000, and base-36 6ZS.

From a number-theory perspective, 9064 is not expressible as a sum of two squares because the prime factor 11 (which is 3 modulo 4) appears with an odd exponent in its factorization. It does, however, have a straightforward divisor structure and can be used as an example in discussions of factorization and modular properties.

In practical terms, 9064 may appear as an identifier or catalog number in various systems, such as product codes, inventory labels, or archival references. Like many integers, it serves as a data point in mathematical, computational, and cataloging contexts without inherent meaning beyond its numeric properties.

See also: properties of the number 9064, base representations, and divisor arithmetic.