#VDM-SL, 101 bytes
f(i)==s([x|x in set {1,...,i-1}&i mod x=0])=i;s:seq of nat+>nat
s(x)==if x=[]then 0 else hd x+s(tl x)
Summing in VDM is not built in, so I need to define a function to do this across the sequences, this ends up taking up the majority of bytes
A full program to run might look like this:
functions
f:nat+>bool
f(i)==s([x|x in set {1,...,i-1}&i mod x=0])=i;s:seq of nat+>nat
s(x)==if x=[]then 0 else hd x+s(tl x)