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Oh, what a happy little question! In a 24-hour day, the digit 7 will appear 8 times on a digital clock. You can find it in times like 07:07, 17:37, and 23:57. Just imagine those sevens dancing across the clock, bringing joy to each hour.
A digital clock will have the greatest sum if added up at nine fifty nine. That would be three digits, not four.
12 Times: AM - 1:11am, 2:22am, 3:33am, 4:44am, 5:55am, 11:11am PM - 1:11pm, 2:22pm, 3:33pm, 4:44pm, 5:55pm, 11:11pm