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?