Difference between revisions of "Abundant number"
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| − | An '''abundant number''' is a number <math>n</math> for which the sum of its [[proper divisor|proper divisors]] is greater than <math>n</math> itself. | + | An '''abundant number''' is a number <math>n</math> for which the sum of its [[proper divisor|proper divisors]] is greater than <math>n</math> itself. For example, 12 is abundant because the sum of its proper divisors is 1 + 2 + 3 + 4 + 6 = 16 > 12. |
| + | =Examples= | ||
| + | The first 10 abundant numbers are: | ||
| + | 12, 18, 20, 24, 30, 36, 40, 42, 48, and 54 | ||
| + | The first 10 odd abundant numbers are: | ||
| + | 945, 1575, 2205, 2835, 3465, 4095, 4725, 5355, 5775, and 5985 | ||
{{stub}} | {{stub}} | ||
Revision as of 19:55, 6 February 2018
An abundant number is a number 
for which the sum of its proper divisors is greater than itself. For example, 12 is abundant because the sum of its proper divisors is 1 + 2 + 3 + 4 + 6 = 16 > 12.
Examples
The first 10 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, and 54 The first 10 odd abundant numbers are: 945, 1575, 2205, 2835, 3465, 4095, 4725, 5355, 5775, and 5985
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