4001

4001 is a natural number that follows 4000 and precedes 4002. In mathematics, it is an odd integer and, in particular, a prime number, having no positive divisors other than 1 and itself.

In different numeral systems, 4001 has several common representations. In binary it is 111110100001. In hexadecimal it is FA1 (often written as 0xFA1). In octal it is 7641. These representations illustrate how the same value appears across base systems used in computing and digital design.

Beyond pure mathematics, 4001 is used as an identifier in calendars, catalogs, and model numbers. As a year designation, 4001 CE would be a far-future date in the Gregorian calendar. In fiction and speculative writing, such far-future years are sometimes employed to evoke advanced civilizations or different historical timelines. In product and archival contexts, 4001 may serve as a serial, edition, or model number to distinguish items within a broader numbering scheme.

Overall, 4001 is a prime integer whose utility spans theoretical contexts in number theory and practical usage in data representation and cataloging. Its numeric properties are straightforward, while its appearance in codes and speculative contexts reflects common practices of assigning identifiers to distinguish objects, years, or editions.