9968

9968 is a natural number that lies between 9967 and 9969. In mathematics, it is an even composite number with a nontrivial factorization and several notable arithmetic properties.

Its prime factorization is 2^4 × 7 × 89, meaning 9968 is divisible by 16 and by 7 and 89 as well as by their combinations. The highest power of two dividing 9968 is 16, so it is not divisible by 32. The sum of its decimal digits is 32, giving a digital root of 5. It is neither a prime nor a perfect square.

The divisors of 9968 can be listed as follows: 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968. These arise from the factorization 2^4 × 7 × 89, and there are 20 divisors in total.

In other representations, 9968 equals 0x26F0 in hexadecimal and 10011011110000 in binary. The binary form corresponds to the hexadecimal 26F0, confirming the factorization and decimal value.

As a numeric value, 9968 may appear in various mathematical contexts, datasets, or catalogs where a four-digit even integer is required. It is one of many integers whose properties can be explored within number theory.