1. Choose a number with a 2 and repeating 3's.
2. The square is made up of:
   • first digits: 5 & one fewer 4 than repeating 3's
   • next digits: 2 & one fewer 8 than repeating 3's
   • last digit: 9

   Example:

1. If the number to be squared is 2333:
2. The square has:

   first digits: 5 and one fewer
    4 than 3's                      5 4 4
next digits: 2 and one fewer
    8 than 3's                            2 8 8
last digit: 9                                   9

3. So 2333 × 2333 = 5442889.

   See the pattern?

1. If the number to be squared is 233333:
2. The square has:

   first digits: 5 and one fewer
   4 than 3's               5 4 4 4 4
next digits: 2 and one fewer
   8 than 3's                        2 8 8 8 8
last digit: 9                                  9

3. So 233333 × 233333 = 54444288889.