Just looked at my 1933 Catalog reprint and the 414 is not there which confirms your statement. The 418 is on a Favorite frame but slightly larger. The barrel is not threaded into the action like the 44 but just a slip fit. They are accurate in spite of this. I am thinking they used the Favorite numbering system. Running out of numbers may or may not be what happened. Would have to check my collection but don't recall seeing any 4 or 5 digit numbers, usually a letter and 3 numbers.

Just to add to the Stevens 44 action information:

My Stevens Model 47 Range rifle is a 28-30 with a central extractor.  SN is about 20200.  That puts the date of manufacture in the 1900-1903 period.  This rifle has the dovetail near the receiver.  Before I got the rifle (1967), someone put a folding buckhorn into that slot.  Now that I have learned something new (a common occurrence on this Forum), I have to put a long scope on the rifle.  More $$$.

Another 47 is the 25-20 Stevens that I described in the thread about the .25 Hornet.  This has a #3 barrel with a .251 groove diameter and a 17" twist.  That is a rimfire barrel installed on a 44 centerfire action (by Stevens), the SN on the barrel matches the SN on the tang and the 25-20 caliber stamp is definitely Stevens.  SN is about 23000.  My thoughts about this rifle is that this is what you got if you did not buy a Stevens-Pope. My guess as to year is about 1905.

A Plain Jane Model 44 in .25-20 Stevens has a SN about 48000.  I have always thought this was a post-WW1 rifle, maybe from the 1920s.  The wood is of a much lower quality than either of my 47s.

No checkering on any of these rifles.

Slumlord44, is the 44 centerfire rifle listed in your 1933 catalog?

I have two 44's left. One is a DST 44/45, 6 o'clock extractor #18,040 that was originally a 32/40, trigger block action (soon to be a 22rf). The other is my very first SS, a beautiful original 32/40, trigger block with a 7 o'clock extractor, #3 barrel, #10,551.

What is the feeling that the 107 model serial numbers continued on into the 44 numbers?

Frank

A little summary so far:
Highest number on my list with side extractor is 16260 - Gunbroker  415163717
Lowest number seen to date with centre extractor is 18040 - a model 45 DST owned by frankeore

Grant wrote that  the center extractor started in 1901.

Highest number seen with screw pivots is 14542  - was on Gunbroker.
Lowest number seen with two-piece bolts is 15329 - was on Gunbroker.
In the 1903 catalog they tout the new design, so it must have been implemented between the 1900 catalog publication and 1903.  

According to catalogs, no centerfire Model 44 actions after 1903, except .25-20 and .32-20     Also from 1903 on the Models 45, 47, and up were on the 44 1/2 action, so any such on a 44 action must be 1903 or earlier.  

Highest 44 action in a large centerfire caliber is 25423 - GunBroker 407393445 - a .32-40

Highest centerfire action to date is 52341, a .25-20, Gunbroker  410040824 
Highest centerfire caliber barrel is 61674, .25 caliber in my collection.
Highest Model 44 rimfire to date is 90039 - Gunbroker # 421669982          

1929 catalog does not mention [i]any[/i] centerfire calibers for the Model 44, only .22/.25/.32 rimfires.

All Model 44 style actions discontinued in 1932.  Except model 417 which seems to have a new s/n series.

Thanks Frank.   I've updated the summary post

Wow!   I had not even thought to search for 414s.  And that one pushes the upper bound way, way up.  Got all four from GB into the database as of 7:30 this AM. 

All that needs to be added then is lowest number with a coil spring. Somewhere in the low 60s?