2187328

2187328 is a positive integer. In mathematics it is an even, composite number whose prime factorization is 2187328 = 2^6 × 11 × 13 × 239. This factorization shows that the number has 56 positive divisors, calculated as (6 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 7 × 2 × 2 × 2 = 56. The largest prime factor is 239, and the square-free part is 11 × 13 × 239 = 34177.

In various numeral systems, 2187328 can be represented as follows: in binary it is 1000010110000001000000; in octal it is 10260100; and in hexadecimal it is 0x216040. The decimal representation remains 2187328.

Geometrically or combinatorially, there is no widely recognized special significance attached to this specific integer beyond its arithmetic properties. It is not a prime, a perfect power, or a well-known constant, but its factorization demonstrates a mix of small and moderately large prime factors, which is typical for many random composite integers of its size.

As a numerical object, 2187328 serves as an example of how a number can be factored into a product of primes and how its divisors and base representations can be derived from that factorization. Its value lies in its role as a concrete integer with a precise decomposition rather than in any particular, widely cited application or sequence.