serial number sequence was not important to the shipping department at Colt, and percussion arms were not shipped from Colt in serial number sequence. Sometimes there are groupings of serials in a regiment or unit, and collectors like to describe these as being "in the ______ Regiment Range" but this might be proof that a particular unit had a gun, might not.
In researching his book on the Colt 1860 Army revolver, Charles Pate inspected the never-opened shipment invoices, usually covering 1,000 revolvers sent by Colt to the US. These were prepared so Colt could get paid, and they were still stored at the Treasury Department tied up in red ribbon, aka the famous government "red tape."
He found shipments of 1,000 1860s containing a serial number range of MANY THOUSANDS.
And that's how the shipment left Colt. You can be sure that once it got to a military ordnance receiving station, those boxes were stacked without regard to serial number sequence.
All the Springfield Research records (nearly all) come from lists of serial numbers kept at the company level of regiments. No such listing was required, but was sometimes made for the convenience of a company clerk (I suppose a company clerk would have been a fellow who had kept the books at a store or business back at home in civilian life.)