Since all the science has already been used, and assuming that the range in the current entries is reasonable, I went for an approach similar to how the Magic Number for Legendary Activity is generated (with a change from sha1 to SHA2_256, since sha1 is deprecated on my SQL version, and a few others due to datatype stuff):
select 610357 + convert(int,convert(varbinary,convert(varchar,'0x' + substring(convert(varchar, HASHBYTES('SHA2_256',@MySeed),1),3,2),1),1))*2
Result: 610637