Perfect numbers

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• What is a perfect number?
• If you add up divisors, get the original number
• 6 and 28 are the first two perfect numbers
• 496 and 8128 are the next two perfect numbers
• Only these four were known to the ancient Greek for over 1,000 years
• Each is 1 digit longer
• Ending digit alternates between 6 and 8
• Sum of consecutive numbers
• Triangular numbers
• Do any odd perfect numbers exist?

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