6744

6744 is a natural number. It is even and composite, with prime factorization 2^3 × 3 × 281, where 281 is prime. The full set of divisors consists of 16 numbers: 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, and 6744.

As a result of its factorization, 6744 is not squarefree because the prime 2 appears with exponent greater than 1. It is also not a prime or a power of a single prime.

6744 is an abundant number. The sum of its proper divisors equals 10176, which exceeds 6744, giving an abundance of about 1.51 (10176/6744). This places it among numbers for which the divsum exceeds the number itself, a property of interest in divisor-sum studies.

In base representations, 6744 converts to different numeral systems as follows: in octal it is 15130, in hexadecimal it is 1A58, and in binary it is 1101001011000.

Additional context: 6744 is divisible by 3 and by 8, reflecting its factorization. It is not a palindrome in decimal, and it does not appear to have any widely noted special status beyond its classification as a composite, abundant integer. It serves as an example of a moderately large, highly composite number with a simple prime factor structure.