Thea has a key on her calculator marked . If an integer is displayed, pressing the key chops off the first digit and moves it to the end. For example, if 6138 is on the screen, then pressing the key changes the display to 138.
Wouldn't 6138 become 1386 ? You said the first digit gets moved to the end ....
Thea enters a positive integer into her calculator, then squares it, then presses the key, then squares the result, then presses the key again. After all these steps, the calculator displays 243. What number did Thea originally enter?