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The ''roundness'' of an integer greater than 1 is the sum of the exponents of the prime factorization of the number. For example, $20 = 2^2 \times 5^1$, so 20 has a roundness of 3. What is the roundness of 1,000,000?

 Jan 15, 2020
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1,0000,0000 = 2^7 * 5^7

 

7 + 7 = 14

 Jan 16, 2020

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