6563

6563 is a natural number that follows 6562 and precedes 6564. In mathematical terms, it is a prime number, which means it has no positive divisors other than 1 and itself. It is odd and congruent to 3 modulo 4.

The number has several simple base representations. In binary, 6563 is 1100110100011. In octal, it is 14643. In decimal it is 6563, and in hexadecimal it is 0x19A3. In base 3, it can be written as 1000000002_3, reflecting the nearby value of 3^8 (6561) plus 2.

A notable mathematical Observation is that 6563 equals 3^8 + 2, since 3^8 = 6561. This makes it one of the primes that is just above a small power of a base.

In summary, 6563 is a prime number with several straightforward representations across common bases, and it has the simple relation 6563 = 3^8 + 2. The number’s properties are of typical interest in elementary number theory and base-conversion contexts.