Want to Be Ramanujam's Friend ?

Ramanujam (The man Who Knew Infinity)

The great Indian Mathemagician Shrinivasan Ramanujam never had any close friends and someone asked him the reason. He replied, “I always wanted to have a good friend, but unfortunately I am not getting anyone matching my expectations”.

The man asked what your expectation?

Ramanujam replied, “The numbers 284 and 220 are exemplary friends and I wish is to have that kind of friendship with someone”

The man got confused and asked, “How do this friendship and these two numbers connect?”

Ramanujam clarified and asked the man to find all the proper Divisors of these two numbers.

After a little difficulty, the person listed the divisors:-

Proper Divisors of 284 including 1 are 1, 2, 4, 71, 142.

and proper Divisors of 220 including 1 are: 1, 2, 4 ,5, 10, 11, 20, 22, 44, 55, 110.

Ramanujam asked him to calculate the total of these divisors for each number. The friend did that and the answer was surprising, he got :-

1 +2+ 4+ 71+ 142 = 220

and 1+ 2 +4+ 5 +10+ 11 +20+ 22 +44 +55 +110 = 284

Wow!

The man was still confused and asked Ramanujam to elaborate. Ramanujam explained, “an ideal friendship should be like these numbers, to complement each other. Even when one is absent, the other should represent the friend.”

Here comes Ramanujam’s theory of a close friendship:

If two people can have ingrained the same set of qualities and if one can mirror the qualities of the other even in the other’s absence, then such two people can symbolize and represent a true friendship.

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