abundant number

1. A number that is less than the sum of its proper divisors (all divisors except the number itself).

   The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30, and 1 + 2 + 3 + 5 + 6 + 10 + 15 = 42, which is greater than 30, so 30 is an abundant number.

   1992, Stanley Rabinowitz (editor), Index to Mathematical Problems, 1980-1984, MathPro Press, page 185, (a) Let k be fixed. Do there exist sequences of k consecutive abundant numbers?

regular