4963

4963 is a natural number that follows 4962 and precedes 4964. In number theory, it is a composite integer with prime factorization 7 × 709, where 709 is itself a prime number. This makes 4963 an odd number and, more specifically, congruent to 3 modulo 4 and 3 modulo 8.

The sum of its decimal digits is 22, giving a digital root of 4. In various base representations, 4963 is written as 1001101100011 in binary, 0o11543 in octal, and 0x1363 in hexadecimal. Its magnitude places it between 2^12 (4096) and 2^13 (8192), with a square root of about 70.5.

In mathematics, 4963 can serve as an example of a product of two primes or as a test case in algorithms for factoring and primality testing. It does not correspond to a widely recognized constant or to a notable sequence beyond its standard integer properties. As such, 4963 is primarily of interest within elementary number theory and basic arithmetic contexts, where its factorization and base representations illustrate common integer characteristics.