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Australian AMC 2024 - Upper Primary Question 29

AMC AUSTRALIA · Australian AMC 2024 - Upper Primary

Question 29

Starting with the number 2024, a second number is calculated by squaring each digit and adding these squares together: 2² + 0² + 2² + 4² = 24. The third number is then calculated by adding the squares of the digits of the second number. This continues until the 2024th number. What is the 2024th number?