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The Steinhaus Cyclus

The Steinhaus Cyclus is 145, 42, 20, 4, 16, 37, 58, 89 . The Concept Step 1: Take any natural number with four digits. Step 2: Add the squares of all the digits of the number. Step 3: Repeat this procedure of adding the squares of the digits of the number. Step 4: This procedure gives the result either number 1 or 145. Step 5: After getting the number 1 or 145, the Steinhaus Cyclus keeps on repeating. For Example Number 1234 Adding the squares of all the digits of the number 1234 [1 2 + 2 2 + 3 2 + 4 2 ] => 30 Repeat this procedure: [3 2 + 0 2 ] => 9 [9 2 ] => 81 [8 2 + 1 2 ] => 65 [6 2 + 5 2 ] => 61 [6 2 + 1 2 ] => 37 [3 2 + 7 2 ] => 58 [5 2 + 8 2 ] => 89 [8 2 + 9 2 ] => 145 [1 2 + 4 2 + 5 2 ] => 42 [4 2 + 2 2 ] => 20 [2 2 + 0 2 ] => 4 [4 2 ] => 16 [1 2 + 6 2 ] => 37 [3 2 + 7 2 ] => 58 [5 2 + 8 2 ] => 89 [8 2 + 9 2 ] => 145 : : : : : As you can see, after getting the num...