7084

7084 is a natural number that follows 7083 and precedes 7085. It is an even, composite integer and sits within the standard sequence of positive integers.

Its prime factorization is 2^2 × 7 × 11 × 23. From this factorization, the number of positive divisors is 24. The sum of all divisors is 16128, giving a sum of proper divisors 9044, which makes 7084 an abundant number with an abundance of 2960.

In various bases, 7084 has the representations: binary 1101110101100, octal 15654, and hexadecimal 1BAC. In decimal terms, these correspondences are consistent with 7084 = 4096 + 2048 + 512 + 256 + 128 + 32 + 8 + 4.

The Euler totient of 7084 is 2640, meaning there are 2640 integers less than 7084 that are coprime to 7084. The number is not a square or a cube; it is divisible by 4 and leaves a remainder of 1 when divided by 3.

7084 is not known to have widely cited historical or cultural significance beyond its mathematical properties. It appears primarily in arithmetic and number-theory contexts as an example of an even, abundant, composite number with a straightforward prime factorization.