Abundant number

An abundant number is a number  for which its sum of divisors, excluding itself, is greater than . 12 is an abundant number because .
18 is also an abundant number because . The series is in the Online Encyclopedia of Integer Sequences (Sloane) as A005101. 120 is considered a super abundant number since the sum of its divisors equals exactly twice the number. 945 is the first odd abundant number. The smallest odd abundant numbers that end in 1, 3, 7, and 9, are 81081, 153153, 207207, and 189189, respectively.

If a number is not abundant, it is called either deficient or perfect.
List of abundant numbers
List of the first 120 abundant numbers:

121820243036404248545660667072788084889096100102104108112114120126132138140144150156160162168174176180186192196198200204208210216220222224228234240246252258260264270272276280282288294300304306308312318320324330336340342348350352354360364366368372378380384390392396400402408414416420426432438440444448450456460462464468474480486490492498500

Category:Integer sequences