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3,162.27766 is the square root of a smallest 8 digit number and thus the greatest integer having the greatest 7 digit square is 3,162. This is because the square of the next integer i. e. 3,163 is going to be an 8 digit number as discussed above. Thus, 3,162 is the required answer. 3162^2 = 9998244.

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Anabelle Hand

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