32968

32968 is a natural number that follows 32967 and precedes 32969. It is an even composite integer and is not a prime.

Its prime factorization is 2^3 × 13 × 317, making 32968 a product of a power of two and two odd primes. Consequently, 32968 has 16 positive divisors: 1, 2, 4, 8, 13, 26, 52, 104, 317, 634, 1268, 2536, 4121, 8242, 16484, and 32968.

The sum of its positive divisors is 66,780, so the sum of proper divisors is 33,812. Since this exceeds 32,968, the number is classified as abundant. It is not a square or cube, and its last two digits being 68 show divisibility by 4 and by 8 but not by 16.

In other contexts, 32968 may appear as an identifier in cataloguing systems. For example, as a minor planet designation, 32968 denotes a specific asteroid in the catalog of the Minor Planet Center, where numbers are assigned sequentially as orbits are confirmed. Such numeric designations are used alongside provisional designations before objects receive a formal name.

Decimal representation is straightforward, and the number can be expressed in scientific notation as 3.2968 × 10^4. It does not have widely noted mathematical significances beyond being an example of a moderately large abundant number, and it does not appear to be associated with notable constants or theorems.