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5.0

weird number??

Asked by babyruth in C Programming Language

Tags: number

I stumble into a math problem yesterday..Weird Number.
One of my friend said that it's impossible to come up with the source code to generate the weird number because weird number is a unsolved maths mystery... but... i doubted him
so help me proved him wrong.....

here's somthing about weird number...

a weird number is an integer say...n for which:
1.the proper divisors of n sum to a number larger than n; and also
2.n cannot be expressed as the sum of a subset of its proper divisors.
As an example, consider n=12. The divisors are 1, 2, 3, 4, 6, and 12. The proper divisors of a number are the divisors of n exluding n itself. Thus the proper divisors of 12 are 1, 2, 3, 4, and 6. These sum to 16 so the first condition is satisfied. However, the second condition is not satisfied because:

12 = 1 + 2 + 3 + 6

so 12 can be expressed as the sum of a subset of its proper divisors. Therefore 12 is not a weird number.

For the case of n=70, the proper divisors of 70 are 1, 2, 5, 7, 10, 14, and 35. The first condition is satisfied becasuse these sum to 74, which is greater than 70. The second condition is satisfied because there is no subset of the proper divisors that sums to exactly 70. Therefore 70 is a weird number

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20091111-EE-VQP-89

weird number??

Asked by babyruth in C Programming Language

Tags: number

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