8043

8043 is an integer in the decimal numeral system. It is odd and composite, with a prime factorization of 8043 = 3 × 7 × 383. Because each prime factor occurs with exponent 1, the number is square-free and has eight positive divisors: 1, 3, 7, 21, 383, 1149, 2681, and 8043.

In terms of digit-based properties, the sum of the digits is 8 + 0 + 4 + 3 = 15, which confirms divisibility by 3 (8043 ÷ 3 = 2681). It is not divisible by 5 or 9, and it is not a prime number.

Expressed in other bases, 8043 equals 0x1F6B in hexadecimal and 1111101101011 in binary. In modular arithmetic terms, 8043 is congruent to 3 modulo 4 because 8043 ≡ 3 (mod 4).

From a number-theoretic perspective, 8043 cannot be written as a sum of two perfect squares. This follows from Fermat’s theorem on sums of two squares, since primes congruent to 3 mod 4 (such as 3, 7, and 383) appear to the first power in its factorization.

Beyond pure mathematics, 8043 may serve as a designation in various contexts, such as catalog numbers, model identifiers, or arbitrary labels in datasets. Without specific context, it functions as a four-digit integer with the properties described above.