2863

2863 is an odd composite number. Its prime factorization is 7 multiplied by 409, making it a semiprime. The positive divisors of 2863 are 1, 7, 409, and 2863.

In terms of divisibility and modular arithmetic, 2863 is not divisible by 3 or 5. Its remainder modulo 4 is 3, so it is congruent to 3 modulo 4. Because it has a prime factor congruent to 3 modulo 4 with odd exponent, 2863 cannot be expressed as a sum of two squares.

In base 2, 2863 is represented as 101100101111. In Roman numerals, it is written as MMDCCCLXIII, corresponding to 2000 (MM) plus 800 (DCCC) plus 60 (LX) plus 3 (III).

As a number, 2863 has four divisors and serves as a standard example of a semiprime in elementary number theory. It is also a valid label in contexts that use sequential numbering, such as cataloging or year designations, though its primary mathematical interest lies in its factorization and modular properties.