Test If a Number Is Deficient

Test If a Number Is Deficient lets you quickly figure out which numbers don’t measure up meaning their divisor sum is less than the number itself. Just paste in your list, and get an instant breakdown.

Paste your input above or import a file below.
No file chosen
Supported file types: .txt, .csv, .log
Total items: 0
Options
Show divisor sum explanation
Trim whitespace
Ignore invalid entries

How to Use:

  1. Type or paste numbers into the input box (one per line).
  2. Or upload a .txt, .csv, or .log file with numbers.
  3. Toggle options like:
    • Show divisor sum explanation
    • Trim whitespace
    • Ignore invalid entries
  4. The output updates instantly as you go.
  5. Click Copy Output or Export to File to save your results.
  6. Hit Clear All to start fresh.

What Test If a Number Is Deficient can do:

This tool checks whether each number is deficient. That means the sum of its proper divisors is less than the number itself. You can see the reasoning behind each result if you toggle the explanation on.

With live updates, import options, and a result counter, it’s simple to test a batch of numbers without slowing down. It’s great when you’re exploring number classifications or working with larger datasets.

Example:

Input:

5
6
8
28

Output:

5 → Deficient (Sum of divisors = 1)
6 → Not deficient (Sum of divisors = 6)
8 → Deficient (Sum of divisors = 7)
28 → Not deficient (Sum of divisors = 28)

Common Use Cases:

Use this when analyzing numbers for mathematical properties, doing research, or prepping datasets. It’s especially useful in classrooms, academic tools, and just for fun when diving into divisor-based number types.

Useful Tools & Suggestions:

If you’re checking for deficiencies, Generate Deficient Number Sequence gives you a full list to explore. And when you want to compare with the opposite case, Generate Perfect Numbers shows you values where the divisors add up just right.

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