16256

16256 is a positive integer with several notable mathematical properties. Its prime factorization is 2^7 × 127, making it an even and composite number. It can be expressed as 128 × 127 and, equivalently, as 2 × 8128, where 8128 is the fourth perfect number.

Because 8128 is perfect, 16256 is twice a perfect number. This places it in discussions of relationships between perfect numbers and their multiples, and it highlights how doubling a known perfect number yields another interesting integer in number theory.

The divisors of 16256 are 1, 2, 4, 8, 16, 32, 64, 128, 127, 254, 508, 1016, 2032, 4064, 8128, and 16256, for a total of 16 divisors. The sum of all positive divisors is 32640, so the sum of proper divisors is 16384, which is 128 greater than the number itself. This makes 16256 an abundant number, with a modest abundance margin relative to its size.

In common representations, 16256 is written in hexadecimal as 0x3F80 and in binary as 0011111110000000. It also falls into the category of practical numbers, a class of integers with applications in additive number theory and related areas.

Overall, 16256 is primarily notable for being twice a perfect number (8128), its factorization as 2^7 × 127, its status as an abundant number, and its role in discussions of number-theoretic properties related to practical numbers and divisor sums.