Primitive abundant number

In math, a primitive abundant number is a special kind of abundant number. Its proper divisors, however, must all be deficient numbers(numbers whose sum of proper divisors are less than 2 times that number).[1][2]

  1. Eric W. Weisstein, Primitive Abundant Number at MathWorld.
  2. Erdős adopts a wider definition that requires a primitive abundant number to be not deficient, but not necessarily abundant (Erdős, Surányi and Guiduli. Topics in the Theory of Numbers p214. Springer 2003.). The Erdős definition allows perfect numbers to be primitive abundant numbers too.

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