1008665

1008665 is a natural number that lies between 1,008,664 and 1,008,666. In number theory, it is regarded as a concrete example of a composite, square-free integer with multiple distinct prime factors.

Its prime factorization is 5 × 7 × 23 × 1253, which shows that the number is odd and has no repeated prime factors. Consequently, 1008665 is square-free and has 16 positive divisors, corresponding to all products of subsets of its prime factors. The divisors are: 1, 5, 7, 23, 35, 115, 161, 805, 1253, 6265, 8771, 28,819, 43,855, 144,095, 201,733, and 1,008,665.

In base representations, 1008665 equals 0xF6419 in hexadecimal and 11110110010000011001 in binary. It is congruent to 1 modulo 8 and 2 modulo 3, reflecting its residue pattern with respect to small primes.

As a specific integer, 1008665 serves as an example in discussions of factorization, divisors, and modular arithmetic, illustrating how a number can be composite yet square-free with a relatively large prime factor set. It also demonstrates that a composite number need not be divisible by a square of a prime, which is a defining property of square-free numbers.

In broader use, 1008665 can function as a catalog or identifier in databases, numeric labeling schemes, or examples in instructional material. Beyond its mathematical properties, there is no widely recognized historical or scientific significance attached to the exact value of 1008665.