9000

9000 is a natural number that follows 8999 and precedes 9001. In base-10 notation it is written as 9000, a four-digit number that consists of a 9 and three trailing zeros. As a round, highly visible figure, it is frequently used in counting, budgeting, and estimates to denote a large, easily interpretable quantity.

Mathematically, 9000 factors as 2^3 × 3^2 × 5^3. It has (3+1)(2+1)(3+1) = 48 positive divisors. The sum of all divisors is 30,420, so the sum of proper divisors is 21,420, which exceeds 9,000. Hence, 9000 is an abundant number. Its digital sum is 9, and it is divisible by 2, 3, 5, and by 8 and 125, reflecting its factorization.

In technology and culture, the number 9000 appears in several contexts. Hewlett-Packard’s HP 9000 refers to a line of UNIX-based workstations and servers introduced in the late 1980s and deployed widely with the HP-UX operating system. In fiction, HAL 9000 is the sentient computer character central to Stanley Kubrick’s film 2001: A Space Odyssey (1968), where the model number 9000 is part of its designation and identity.

In calendars and science fiction, the year 9000 denotes a far-future era. While not used in historical chronology, the figure is common in speculative settings to indicate distant time horizons.