| Number Magic |
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| Question : |
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What is an 'Abundant Number' ? |
Answer : |
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When a number itself is greater than the sum of its factors, it is said to be an abundant number. |
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It can also be called
excessive number or redundant number.
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An abundant number is a positive integer n for which,
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s(n) = s(n) - n > n,
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where, s(n) is the divisor function and
s(n) is the restricted divisor function and quantity s(n)-2n is sometimes called the abundance.
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For Example, |
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The first few abundant numbers are 12, 18, 20, 24, 30, 36, ...
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