A number that is both a perfect square and perfect cube and six digits long (whole positive number), what is this number?
I need help!
1,000,000 =1,000^2
1,000,000 =100^3
I know you said "6-digits long", but this is 7-digits long!.
"Guest's " answer isn't unique.....for example......
117649 = 343^2
117649 = 49^3
262144 = 512^2
262144 = 64^3
I suspect that, integer-wise, this may be all
[ 6 * 6 ] ^3 = [36]^3 = 46.656 ..... too small
[ 7 * 7 ] ^3 = [49]^3 = 117649
[8 * 8 ] ^3 = [64]^3 = 262144
[9 * 9 ] ^3 = [81]^3 = 531441
[ 10 * 10] ^3 = [100]^3 = 1,000,000 ...... too large