6000

6000 is an integer in the natural numbers, positioned between 5999 and 6001. It is even and composite.

In mathematics, its prime factorization is 2^4 × 3 × 5^3. The number of positive divisors is (4+1)(1+1)(3+1) = 40. The sum of all divisors, including the number itself, is 19344, so the sum of proper divisors is 13344. Because the proper divisors sum to more than 6000, 6000 is classified as an abundant number.

In common numeral systems, 6000 is written as decimal 6000, binary 1011101110000, octal 13560, and hexadecimal 1770.

In practical terms, 6000 can be understood as a measure of time or distance: 6000 seconds equal 100 minutes, and 6000 meters equal 6 kilometers. The number can also denote a year in calendrical contexts, such as 6000 CE or 6000 BCE in historical timelines, depending on the framework used.

As a round and sizable integer, 6000 is frequently employed in examples, demonstrations, and numerical illustrations where a clean, easily interpretable value is desirable.