Perfect Number

Perfect Number Calculator

The Perfect Number Calculator helps users identify whether a given number is perfect, abundant, or deficient. It analyzes the sum of the number's proper divisors and provides a detailed calculation breakdown.

Perfect Number Calculator

Enter a number:

Result:


Calculator

  • enter a positive integer in the provided field

Results

  • the result displays whether the number is perfect, abundant, or deficient
  • detailed steps showing the proper divisors, their sum, and how the classification is determined

Perfect Number Classification
A Perfect Number Calculator is a tool used to classify a given number as perfect, abundant, or deficient.

Perfect Number:
A perfect number is a positive integer equal to the sum of its proper divisors (excluding itself).
For example, 6 is a perfect number because its proper divisors are 1, 2, and 3, and 1 + 2 + 3 = 6 

Abundant Number:
An abundant number is a positive integer where the sum of its proper divisors is greater than the number itself.
For example, 12 is abundant because its proper divisors are 1, 2, 3, 4, and 6, and 1 + 2 + 3 + 4 + 6 = 16 > 12

Deficient Number:
A deficient number is a positive integer where the sum of its proper divisors is less than the number itself.
For example, 8 is deficient because its proper divisors are 1, 2, and 4, and 1 + 2 + 4 = 7 < 8.
This tool is helpful for students, educators, and math enthusiasts seeking to explore and understand the properties of numbers.

Decimal System (Base-10) Calculators

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Decimal (Base-10) Binary (Base-2) Octal (Base-8) Hexadecimal (Base-16)
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