Write a function “perfect()” that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000.[An integer number is said to be “perfect number” if its factors, including 1(but not the number itself), sum to the number. E.g., 6 is a perfect number because 6=1+2+3].
Question
Write a function “perfect()” that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000.[An integer number is said to be “perfect number” if its factors, including 1(but not the number itself), sum to the number. E.g., 6 is a perfect number because 6=1+2+3].
Solution
Sure, here is a Python function that checks if a number is perfect and a program that uses this function to print all perfect numbers between 1 and 1000.
def perfect(n):
sum = 0
for i in range(1, n):
if n % i == 0:
sum += i
return sum == n
for i in range(1, 1001):
if perfect(i):
print(i)
Here's how it works:
-
The
perfectfunction takes an integernas input. It initializes a variablesumto 0, which will be used to store the sum of the factors ofn. -
It then loops over all numbers from 1 to
n - 1(sincenitself is not a factor). For each numberi, it checks ifiis a factor ofnby checking ifndivided byileaves a remainder of 0 (n % i == 0). Ifiis a factor, it addsitosum. -
After checking all possible factors, it returns whether the sum of the factors is equal to
n, which is the definition of a perfect number. -
The main program then loops over all numbers from 1 to 1000 and prints the number if it is perfect.
Similar Questions
Write a program to check the given number is perfect or not ?
Write a program to check the given number is perfect or not ?Constraints:1<n<1000Input FormatAn integer nOutput FormatA corresponding stringExample:Input 1:6Output 1:YesInput 2:3Output 2:No Explanation:Sum of factors of the given number must be equal to the numberFactors of 6 are 1,2,3 . 1+2+3=6 which is equal to the given number. So 6 is a perfect number
Problem StatementLily is working on a program to find perfect numbers within a user-defined range. Create a program for her that helps find and display all the perfect numbers within a user-defined range a and b.A perfect number is a number for which the sum of its proper divisors (excluding the number itself) equals the number itselfAsk Lily for the starting and ending values (both inclusive) of the range and display the perfect numbers found.Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of two space-separated integers a and b, representing the starting and ending range, respectively.Output format :The output prints the perfect numbers present in the given range, separated by a space.If there are no perfect numbers present, the output prints "No perfect numbers".Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:5 ≤ a < b ≤ 105Sample test cases :Input 1 :6 28Output 1 :6 28Input 2 :10 100000Output 2 :28 496 8128Input 3 :50 60Output 3 :No perfect numbers
Write a program to check the given number is perfect or not ?Constraints:1<n<1000Input FormatAn integer nOutput FormatA corresponding stringExample:Input 1:6Output 1:YesInput 2:3Output 2:No
A perfect number is a positive integer that is equal to the sum of its proper positive divisors, i.e. the sum of its positive divisors excluding the number itself.You are given a function,def DetectPerfectNumber(n)The function accepts an integer 'n' as its argument. Implement the function such that it returns '1' if 'n' is a perfect number, else returns the sum of the proper divisors of 'n'.Example:Input:22Output:14Explanation: Proper positive divisors of 22 are 1, 2 and 11. 1 + 2 + 11 = 14 which is not equal to 22, hence 22 is not a perfect number. So the output is 14 which is the sum of its proper divisors.The custom input format for the above case:22(The line represents 'n')
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