4083

4083 is a natural number that follows 4082 and precedes 4084. It is an odd, composite integer with prime factorization 3 × 1361, where 1361 is itself a prime.

In common base representations, 4083 appears as binary 111111110011, hexadecimal FF3, and octal 7763. In Roman numerals, the standard modern rendering is MMMMLXXXIII, representing 4000 + 80 + 3.

From a mathematical perspective, 4083 is not a prime and it is not a perfect square or a cube. It is not a Harshad (Niven) number, since the sum of its digits is 15 and 4083 is not divisible by 15. It is also not a triangular number, as the equation n(n+1)/2 = 4083 does not yield an integer solution.

As a year, 4083 AD would lie far in the future. In general reference works, there are no widely cited historical events uniquely tied to the number 4083. Like many integers, it serves as an example in discussions of factorization, base conversion, and numeral representations.

Overall, 4083 is a straightforward composite number with a simple factorization and standard representations across common numeral systems. It can be used as a reference point in arithmetic, number theory, and discussions of numeral formats.