8743

8743 is a natural number that follows 8742 and precedes 8744. In mathematics, its prime factorization is 8743 = 7 × 1249, where 1249 is a prime number. Therefore, 8743 is a semiprime and is odd.

Its divisors are 1, 7, 1249, and 8743; the sum of its proper divisors is 1257, which is less than 8743, indicating that 8743 is a deficient number. It is congruent to 3 modulo 4 and to 1 modulo 3.

In various numeral bases, 8743 has distinct representations: in binary it is 10001000100111; in octal it is 21047; and in hexadecimal it is 2227. These representations reflect its fixed value across base systems and are sometimes used to illustrate base-conversion concepts in education.

As a four-digit integer, 8743 does not have widely noted mathematical constants, theorems, or historical events uniquely associated with the number. It serves primarily as an example of a semiprime and a relatively small composite number encountered in introductory number theory and basic arithmetic contexts.