6774

6774 is a natural number that follows 6773 and precedes 6775. It is even and composite. The prime factorization is 2 × 3 × 1129, with 1129 being a prime number. As a product of three distinct primes, 6774 is squarefree and has exactly eight positive divisors: 1, 2, 3, 6, 1129, 2258, 3387, and 6774.

The sum of all divisors of 6774 is σ(6774) = 13,560, which yields a sum of proper divisors equal to 6,786. This makes 6774 an abundant number, since the sum of its proper divisors exceeds the number itself by 12. Euler’s totient function gives φ(6774) = (2−1)(3−1)(1129−1) = 2256, reflecting the count of integers up to 6774 that are coprime to it. The number is neither a prime nor a perfect square.

In various representations, 6774 can be written in binary as 1101001110110. It is divisible by 6 (since it is even and divisible by 3), and its digit sum is 24, so it is divisible by 3 but not by 9.

Summary: 6774 is a squarefree, abundant, composite number with prime factorization 2 × 3 × 1129, eight divisors, and recognizably rich arithmetic properties within elementary number theory.

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