S_{0,4}

[koh]

    [Definition of {k.l}-Aliquot sequence]
    Let S(n)=Sigma(n)/l-k*n
    a_{m}=S(a_{m-1})



    I also tried to  find a {0,4}-Aliquot sequence which goes to infinity.
    I input  a_1= 555500000011111, and  it became a number of 184 digits after 850 steps .
   It seems to go to infinity.
   But I am not sure.
   Because if it becomes a number such that k=2^r*Product_{2<p_i} p_i^(2*s) then Sigma(k) has no factor 2, so it will be end.
   Is it possible to prove that it never becomes a number of the form?

    Yasutoshi