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1,000,000 has 49 divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160,
200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125,
4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250,
40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000 while I did not find a way of counting divisors without counting I did find as many as I could...
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b.
they are correct as far as I could find them to be correct, no proof involved.
c. I realized for one billion that it would have all the factors of 1 million so that made my job a good bit easier. This means that a number has the same divisors as its divisors has.
d. a number has the same divisors as its divisors has because they evenly divide into each other...
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