write a java program that will ask for a number, and tell you if it is perfect, imperfect deficient, or imperfect abundant.

Definitions:

A perfect number is a number which is equal to the sum of its proper factors.

For example 6 = 1 + 2 + 3

For example 28 = 1 + 2 + 4 + 7 + 14

A deficient number is a number which is greater than the sum of its proper factors.

For example 5 > 1

For example 27 > 1 + 3 + 9

An abundant number is a number which is less than the sum of its proper factors.

For example 12 < 1 + 2 + 3 + 4 + 6

For example 18 < 1 + 2 + 3 + 6 + 9

For example, a run of the program might look like this:

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Welcome to the Perfect Number Tester

Enter a number (0 to quit): 6

The factors are 1, 2, 3

6 is perfect

Enter a number (0 to quit): 10

The factors are 1, 2, 5

10 is imperfect deficient

Enter a number (0 to quit): 40

The factors are 1, 2, 4, 5, 8, 10, 20

40 is imperfect abundant

Enter a number (0 to quit): 0

End

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The numbers must be integers.