Sums & other

Beyond special kinds of numbers, integers have many structural properties: how they factor into primes, how many divisors they have, whether they can be written as a difference of two squares or as a perfect power. These properties are shown on every number page on NumDic.

Below are the topics we cover; click one to read a short definition and find links to examples.

Key features

• Divisors and prime factorization: the building blocks of every integer.
• Sum of divisors: links to perfect, abundant, and deficient numbers.
• Difference of two squares and perfect powers: classical representations.