Given an integer N which denotes the number of divisors of any number, the task is to find the maximum prime divisors that are possible in number having N divisors.
Input: N = 4
Input: N = 8
Approach: The idea is to find the prime factorization of the number N, then the sum of the powers of the prime divisors is the maximum possible prime divisors of a number can have with N divisors.
Let the number of divisors of number be 4, Then the possible numbers can be 6, 10, 15,... Divisors of 6 = 1, 2, 3, 6 Total number of prime-divisors = 2 (2, 3) Prime Factorization of 4 = 22 Sum of powers of prime factors = 2
Below is the implementation of the above approach:
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- Check if a number can be expressed as a product of exactly K prime divisors
- Count of subarrays having exactly K prime numbers
- Maximum number of prime factors a number can have with exactly x factors
- Maximum of smallest possible area that can get with exactly k cut of given rectangular
- Count prime numbers that can be expressed as sum of consecutive prime numbers
- Numbers less than N which are product of exactly two distinct prime numbers
- Check if a number exists having exactly N factors and K prime factors
- First element of every K sets having consecutive elements with exactly K prime factors less than N
- Print numbers such that no two consecutive numbers are co-prime and every three consecutive numbers are co-prime
- Numbers with exactly 3 divisors
- Check if a prime number can be expressed as sum of two Prime Numbers
- Maximum count of pairwise co-prime and common divisors of two given numbers
- Count of subarrays having exactly K perfect square numbers
- Exactly n distinct prime factor numbers from a to b
- Check if each element of the given array is the product of exactly K prime numbers
- Count of subsequences which consists exactly K prime numbers
- Maximum array sum that can be obtained after exactly k changes
- Represent a number as a sum of maximum possible number of Prime Numbers
- Absolute Difference between the Sum of Non-Prime numbers and Prime numbers of an Array
- Absolute difference between the Product of Non-Prime numbers and Prime numbers of an Array
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