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Added Python Program to Check Perfect Number #2244

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Jul 28, 2020
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44 changes: 44 additions & 0 deletions maths/perfect_number.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,44 @@
"""
== Perfect Number ==
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 6 ==> divisors[1, 2, 3, 6]
Excluding 6 sum(divisors) = 1 + 2 + 3 = 6
So, 6 is a Perfect Number
Other examples of Perfect Numbers: 28, 486, ...

"""
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Suggested change
"""
== Perfect Number ==
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 6 ==> divisors[1, 2, 3, 6]
Excluding 6 sum(divisors) = 1 + 2 + 3 = 6
So, 6 is a Perfect Number
Other examples of Perfect Numbers: 28, 486, ...
"""
"""
== Perfect Number ==
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 6 ==> divisors[1, 2, 3, 6]
Excluding 6, the sum(divisors) is 1 + 2 + 3 = 6
So, 6 is a Perfect Number
Other examples of Perfect Numbers: 28, 486, ...
https://en.wikipedia.org/wiki/Perfect_number
"""



def perfect(number: int) -> bool:
divisors = []
for i in range(1, ((number // 2) + 1)):
"""
starting from 1 as division by 0
will raise error.
A number at most can be divisible
by the half of the number except
the number itself
>>> 6 at most can be divisible by 3
except 6 itself
"""

if (number % i) == 0:
divisors.append(i)

if sum(divisors) == number:
return True
else:
return False
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Please put all of this on one line using a Python list comprehension.

Doctests chould be:

"""
>>> perfect(27)
False
>>> perfect(28)
True
>>> perfect(29)
False
"""

The content to the right of >>> must be valid Python code that will be run by the test harness. This explains why the Travis CI tests are currently failing.



if __name__ == "__main__":
print("Program to check whether a number is a Perfect number or not.......")
number = int(input("Enter number: "))
check = perfect(number)
if check:
print("{} is a Perfect Number.".format(number))
else:
print("{} is not a Perfect Number.".format(number))
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Suggested change
check = perfect(number)
if check:
print("{} is a Perfect Number.".format(number))
else:
print("{} is not a Perfect Number.".format(number))
print(f"{number} is a {'' if perfect(number) else 'not '}Perfect Number.")