Definition:Primitive Abundant Number

Definition
A primitive abundant number is an abundant number whose aliquot parts are all deficient.

Examples
and so on.

Also defined as
Some sources define a primitive abundant number as an abundant number which has no abundant aliquot parts.

The difference between the definitions here is that perfect numbers are allowed as divisors.

Under this definition, the sequence of primitive abundant numbers begins:
 * $12, 18, 20, 30, 42, 56, 66, 70, 78, 88, 102, 104, 114, 138, 174, 186, 196, 222, \ldots$

Also see

 * Multiple of Abundant Number is Abundant