This week’s GeekDad Puzzle of the Week is about perfect and almost perfect number pairs. Perfect numbers are numbers that equal the sum of their divisors. For example, the number 6 can be divided evenly by 1, 2, and 3, and 6 = 1 + 2 + 3.
Almost perfect number pairs are pairs of numbers that equal the sum of their partner’s divisors. For example, 1184 and 1210 are an almost perfect number pair.
1184 = 1+2+5+10+11+22+55+110+121+242+605, the sum of the divisors of 1210.
1210 = 1+2+4+8+16+32+37+74+148+296+592, the sum of the divisors of 1184.
This week’s GeekDad Puzzle of the Week is straightforward: How many perfect numbers or almost perfect number pairs are there below 50,000, and what are they?
Submit your solution to GeekDad Central by end of day Friday for your chance at this week’s $50 ThinkGeek Gift Certificate.
