Math problem solving using the web

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When I have an integer sequence and I don't have a formula, I generate the first few terms by brute force, put them into the online encyclopedia of integer sequences, and that usually gives me a formula.

But there are two other situations where that doesn't help.

(1) I have a few numbers, they are not a sequence, but they might have some unusual mathematical property in common.

If there existed an online encyclopedia of integer sets, that would be ideal.

(2) I have a few numbers that map to other numbers, I suspect there is a simple function, but I just can't see it.
Code:
for example

f(28)=3
f(75)=6
f(132)=8
f(217)=10
Has anyone found a web site that can handle this type of query?
 

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