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PUZZLET 166

Prime Factor Sum

An integer's PFS (prime factor sum) is the sum of its prime factors. For example the prime factors of 10 are 2 and 5, and thus PFS(10) equals 2 + 5 = 7.

Some integers are multiples of their own PFS (ignoring the trivial case of primes). For example, PFS(10647) = 39, and 10647 divides by 39 exactly 273 times.

Find all non-prime integers which are multiples of their own PFS between 10000 and 11000.

Puzzlet_166


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Last Updated: January 15th, 2010.