Can the following function crash?

    repeat until x is a positive integer:
        x = user input
    y = g(x)
    return 1 / y

If g crashes, or if 0 in image of positive integers under g







Which of the following is faster?

    option 1:
        answer = 1
        for each i from 1 to x/2
            if i divides x evenly, add 1 to answer
        return answer


    option 2:

        answers = [1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, 8, 4, 4, 2, 12, 2, 4, 6, 7, 4, 8, 2, 6, 4, 8, 2, 12, 2, 4, 6, 6, 4, 8, 2, 10, 5, 4, 2, 12, 4, 4, 4, 8, 2, 12, 4, 6, 4, 4, 4, 12, 2, 6, 6, 9, 2, 8, 2, 8] -- see https://oeis.org/A000005

        if x <= 104:
            return the xth entry in answers
        else:
            answer = 1
            for each i from 1 to x/2
                if i divides x evenly, add 1 to answer
            return answer