Deficiente?

Σ div próprios < n.
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Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Deficiente?
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deficiente

About this calculator

The deficient number calculator is a useful tool to verify if a number is deficient or not. A number is considered deficient if the sum of its proper divisors is less than the number itself.

To use this calculator, simply insert a number and check if the sum of its proper divisors meets the condition of a deficient number. This is especially useful in number theory, where deficient numbers are an important concept.

It's worth noting that a number doesn't need to have only two proper divisors to be deficient. The formula to check if a number is deficient is simple: if the sum of its proper divisors is less than the number itself, then it is deficient.

Frequently asked questions

What are proper divisors?

Proper divisors of a number are the divisors that result in a remainder of zero when the number is divided by them. For example, the proper divisors of 6 are 1, 2 and 3.

When is a number considered deficient?

A number is considered deficient if the sum of its proper divisors is less than the number itself. This can occur in numbers with many proper divisors or in numbers with large proper divisors.

How can I use this calculator in my daily life?

This calculator can be useful in various situations, such as verifying if a number is deficient for recreational math or to solve problems in number theory.

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