4002

4002 is the natural number that follows 4001 and precedes 4003. It is an even and composite integer.

In prime factorization terms, 4002 = 2 × 3 × 23 × 29. Consequently, its divisors include 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 116, 174, 667, 1334, 2001, and 4002. The digit sum is 6, so it is divisible by 3; it is also divisible by 2, hence by 6.

Representations: In binary, 4002 is 111110100010_2; in octal, 7642_8; in hexadecimal, 0x0FA2. In Roman numerals it can be written as MMMMII, noting that alternative conventions exist for very large values.

In astronomy, 4002 is the catalog number of a minor planet in the asteroid belt, the designation used by the Minor Planet Center to identify the object in orbital catalogs.

Beyond pure arithmetic, 4002 appears as a designation in various cataloging schemes, such as model numbers, batch codes, or route numbers in different countries. As a four-thousand-range integer, it serves as a reference point in number theory and practical labeling alike.