An integer is what sort of number?
Counting sort initialization of the output array, each take time. Therefore, the time for the whole algorithm is the sum of the times for these steps, . Because it uses arrays of length and , the total space usage of the algorithm is also . For problem instances in which the maximum key value is significantly smaller than the number of items, counting sort can be highly space-efficient, as the only storage it uses other than its input and output arrays is the Count array which uses space . If each item to be sorted is itself an integer, and used as
Radical of an integer Radical of an integer In number theory, the radical of a positive integer "n" is defined as the product of the distinct prime numbers dividing "n". Each prime factor of "n" occurs exactly once as a factor of this product: The radical plays a central role in the statement of the abc conjecture. Radical numbers for the first few positive integers are For example, and therefore The function formula_4 is multiplicative (but not completely multiplicative). The radical of any integer "n" is the largest square-free divisor of "n" and so also described as the square-free kernel of "n". There is