6144

6144 is a positive integer. In prime factorization it equals 2^11 × 3, so it is a product of a power of two and the prime three. This makes the number divisible by every power of two up to 2^11 and by 3.

In different numeral systems, 6144 is represented as binary 1100000000000_2, hexadecimal 0x1800, and octal 0o14000. Its factorization also implies a straightforward divisors structure: the divisors are the numbers 2^a for 0 ≤ a ≤ 11 and 3×2^a for 0 ≤ a ≤ 11, giving a total of 24 divisors.

The sum of its positive divisors is σ(6144) = 16380; therefore the sum of proper divisors is 16380 − 6144 = 10236. The divisor pattern reflects its form as 2^11 × 3, which also influences other arithmetic functions.

In computing and data contexts, 6144 bytes correspond to 6 KiB, since a KiB is defined as 1024 bytes. Thus 6 × 1024 = 6144 bytes, a size that appears in various memory and storage-related measurements.

6144 is not a prime, not a perfect power, and not a perfect square. Its arithmetic properties are largely determined by its clean factorization into a high power of two and a single factor of three.