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A palindromic number reads the same from left to right and right to left. Examples: 121, 575, 848, 1111. These numbers remain unchanged when their digits are reversed.

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A supercell is a cell containing a number that is larger than all its adjacent cells (neighboring cells). Adjacent cells are those immediately to the left, right, top, and bottom of the given cell.

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Digit sum of 3456 = 3 + 4 + 5 + 6 = 18. The digit sum is the total obtained by adding all the digits of a number.

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The Kaprekar constant is 6174. To reach it: 1) Take any 4-digit number with at least 2 different digits, 2) Arrange digits in descending order, 3) Arrange same digits in ascending order, 4) Subtract s

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Step 1: 5432 - 2345 = 3087 Step 2: 8730 - 0378 = 8352 Continuing this process will eventually lead to the Kaprekar constant 6174.

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Start with any whole number. If the number is even, divide by 2. If the number is odd, multiply by 3 and add 1. Repeat this process. The conjecture states that you will always eventually reach 1, but

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7 → 22 (7×3+1) → 11 (22÷2) → 34 (11×3+1) → 17 (34÷2) → 52 (17×3+1) → 26 (52÷2) → 13 (26÷2) → 40 (13×3+1) → 20 (40÷2) → 10 (20÷2) → 5 (10÷2) → 16 (5×3+1) → 8 (16÷2) → 4 (8÷2) → 2 (4÷2) → 1 (2÷2)

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89 + 98 = 187 187 + 781 = 968 968 + 869 = 1837 1837 + 7381 = 9218 9218 + 8129 = 17347 Continue until you get a palindrome. Some numbers require many steps!