Brain Teasers
Weird Numbers
12 is an abundant number, because the sum of its proper divisors: 1+2+3+4+6=16, and this is larger than the number itself. However, you will notice that 1+2+3+6=12.
A weird number is an abundant number, n, for which no subset of its proper divisors adds to n. What is the smallest weird number?
A weird number is an abundant number, n, for which no subset of its proper divisors adds to n. What is the smallest weird number?
Hint
They are very rare indeed. The smallest is somewhere between 50 and 100.Answer
The smallest weird number is 70.The next three being 836, 4030 and 5830.
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