There is no greatest square number. Just as numbers go on infinitely, so do their associated number series.
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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.
Every square of a 4 digit number has more than four digits.
As 1 million is the lowest 7-digit number and also the square of one thousand, the number you seek is the square of 999, which I'm sure you can calculate!
If its a triangle then just the one but if it is a square or a rectangle then 4 of them.