Squaring special numbers (3 and repeating 6’s)

Follow the following Steps:

  1. Choose a number with a 3 and repeating 6’s.
  2. The square is made up of:
    • first digits: 13 & two fewer 4’s than repeating 6’s
    • next digits: 39 & one fewer 5 than repeating 6’s
    • last digit: 6


   Example-1:

  1. If the number to be squared is 3666:
  2. The square has:first digits: 13 and two fewer
        4's than 6's                 1 3 4
    next digits: 39 and one fewer
        5 than 6's                        3 9 5 5
    last digit: 6                                 6
  3. So 3666 × 3666 = 13,439,556.
   


   Example-2:

  1. If the number to be squared is 366666:
  2. The square has:first digits: 13 and two fewer
       4's than 6's         1 3 4 4 4
    next digits: 39 and one fewer
       5 than 6's                    3 9 5 5 5 5
    last digit: 6                                6
  3. So 366666 × 366666 = 134,443,955,556.