Nimisha is assigned to calculate the sum of divisors for a given positive integer. She needs a function called sumOfDivisors to calculate the sum of divisors for a given positive integer.Help her with the program.Example: If the number is 12, the sum of its divisors would be 1+2+3+4+6+12 = 28.Input format :The input consists of an integer n.Output format :The output prints the sum of all the divisors of n (inclusive).
Question
Nimisha is assigned to calculate the sum of divisors for a given positive integer. She needs a function called sumOfDivisors to calculate the sum of divisors for a given positive integer.Help her with the program.Example: If the number is 12, the sum of its divisors would be 1+2+3+4+6+12 = 28.Input format :The input consists of an integer n.Output format :The output prints the sum of all the divisors of n (inclusive).
Solution
Sure, here is a Python function that calculates the sum of divisors of a given positive integer:
def sumOfDivisors(n):
sum = 0
for i in range(1, n + 1):
if n % i == 0:
sum += i
return sum
This function works by iterating over all numbers from 1 to n (inclusive) and checking if the current number is a divisor of n (i.e., if n divided by the current number gives a remainder of 0). If it is, it adds the current number to the sum. Finally, it returns the sum.
For example, if you call sumOfDivisors(12), it will return 28.
Similar Questions
Raj is organizing a fundraising event and wants to distribute prizes to volunteers based on their contributions. He has decided to reward volunteers based on the sum of their contributions, considering only even-numbered contributions. Raj is seeking assistance in quickly calculating the sum of even numbers within a given range using a function called sumOfEven(). Can you help him with this task?Note: This question helps in clearing technical coding tests for companies like Amazon and Toluna.Input format :The input consists of two integers separated by a space, representing the lower limit L and the upper limit R.Output format :The output displays a single integer, representing the sum of even numbers from L to R (both inclusive).Refer to the sample output for formatting specifications.Code constraints :In this scenario, the test cases fall under the following constraints:1 ≤ L < R ≤ 100
Output format :Print’1’ if n is a perfect number, else print the sum of the proper divisors of n.The output will be matched to the candidate’s output printed on STDOUTCode constraints :0< n <109Sample test cases :Input 1 :22Output 1 :14
Sum of NDefine 𝑓(𝑋)f(X) as the largest divisor of 𝑋X other than 𝑋X itself. For example, 𝑓(12)=6f(12)=6 and 𝑓(7)=1f(7)=1.Note that 𝑓(1)f(1) is defined to be 00.Given an integer 𝐾K, find the sum of all 𝑁N such that 𝑓(𝑁)=𝐾f(N)=K.It can be shown that the answer does not exceed 101810 18 under the given constraints.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of a single integer 𝐾K.Output FormatFor each test case, output on a new line, the sum of all 𝑁N which satisfy 𝑓(𝑁)=𝐾f(N)=K.Constraints1≤𝑇≤1041≤T≤10 4 2≤𝐾≤1062≤K≤10 6 Sample 1:InputOutput3231841536Explanation:Test Case 1 : The only number which has 𝑓(𝑁)=2f(N)=2 is 44.Test Case 2 : The only numbers which have 𝑓(𝑁)=3f(N)=3 are 66 and 99. The sum of them is 1515.
Problem Statement:Given a number check whether the number is deficient number or not.DEFICIENT NUMBER : A deficient number or defective number is a number for which the sum of proper divisors is less than n. For example, the proper divisors of 8 are 1, 2, and 4, and their sum is less than 8, so 8 is deficientInput Format:Given an integer n .Output Format:Print Yes if it is a deficient number or No .Sample Input 1:8Sample Output 1:YesSample Input 2:6Sample Output 2:No
Number of DivisorsGiven a number, find the number of divisors of that number.Input FormatFirst line of input contains T - number of test cases. Its followed by T lines, each containing a single number N.Output FormatFor each test case, print the number of divisors of N, separated by newline.Constraints30 points1 <= T <= 1001 <= N <= 10670 points1 <= T <= 1001 <= N <= 109ExampleInput581680892397158Output416328ExplanationSelf Explanatory
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