20576

20576 is a natural number that lies between 20575 and 20577. It is an even, composite integer with a straightforward prime factorization.

The prime factorization of 20576 is 2^5 × 643, where 643 is a prime number. Because of this factorization, 20576 has 12 positive divisors: 1, 2, 4, 8, 16, 32, 643, 1286, 2572, 5144, 10288, and 20576. The number is divisible by 32 (since it contains 2^5) and by 643, and thus by any product of these factors as well.

In various base representations, 20576 appears as follows: in binary it is 101000001100000; in octal it is 50140; and in hexadecimal it is 0x5060. The last five binary digits are zeros, reflecting its divisibility by 32.

Mathematically, 20576 can be viewed as 32 × 643 and is thus a part of the even-number sequence generated by multiplying powers of two with odd factors. Its properties make it a suitable example in exercises on prime factorization, divisibility, and base conversion.

There are no widely noted historical events, cultural references, or specific real-world uses tied to 20576. As a relatively small composite number, it is primarily of interest in mathematical contexts such as number theory demonstrations and educational exercises.