Check Perfect number using While loop in R

Last update on December 21 2024 10:08:02 (UTC/GMT +8 hours)

Write a R program function to check if a given number is a perfect number using a while loop.

From Wikipedia -
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.

Sample Solution :

R Programming Code :

# Define a function to check if a given number is a perfect number using a while loop
is_perfect_number <- function(number) {
    # Initialize variables
    sum_of_divisors <- 0
    divisor <- 1
    
    # Find proper divisors and sum them
    while (divisor < number) {
        if (number %% divisor == 0) {
            sum_of_divisors <- sum_of_divisors + divisor
        }
        divisor <- divisor + 1
    }
    
    # Check if the number is a perfect number
    if (sum_of_divisors == number) {
        return(TRUE)  # Number is a perfect number
    } else {
        return(FALSE)  # Number is not a perfect number
    }
}

# Test the function with an example input
number <- 28  # Example number to check if it's a perfect number
is_perfect <- is_perfect_number(number)

# Print the result
if (is_perfect) {
    cat(number, "is a perfect number.\n")
} else {
    cat(number, "is not a perfect number.\n")
}

Output:

28 is a perfect number.           

Explatnaion:

In the exercise above,

• The "is_perfect_number()" function takes a positive integer 'number' as input and checks if it's a "perfect" number.
• It initializes 'sum_of_divisors' to 0 and 'divisor' to 1.
• It iterates through each divisor less than 'number' using a while loop.
• For each divisor that evenly divides 'number', it adds it to 'sum_of_divisors'.
• After finding all the proper divisors and summing them, it checks if 'sum_of_divisors' is equal to 'number'.
• If they are equal, the function returns 'TRUE', indicating that the number is a "perfect" number. Otherwise, it returns 'FALSE'.

R Programming Code Editor:

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