abundant number

Definition

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

Example Sentences

• "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."
• "It has been shown that the largest odd number which cannot be written as the sum of two abundant numbers is 20161."
• "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?"

Related Words