6752

6752 is a natural number that lies between 6751 and 6753. It is even and composite. Its prime factorization is 2^5 × 211, where 211 is a prime number. As a result, 6752 has 12 positive divisors: 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, and 6752.

In base representations, 6752 equals 1101001100000 in binary, 15140 in octal, and 1A60 in hexadecimal. This reflects its decomposition as 32 × 211, with the binary form corresponding to a left-shift of the binary representation of 211 by five places.

In modular arithmetic, 6752 is congruent to 2 modulo 3, modulo 5, and modulo 9, reflecting its digit sum of 20 (which reduces to 2 under mod 3 and mod 9) and its last digit of 2 for modulo 5.

There is no widely recognized mathematical constant or theorem specifically associated with the number 6752; it is mainly encountered as an example of a number that factors into a power of two and a prime, and as a case study in base conversion and divisor counting.