I have a little theory abour Clément serial numbers:
The magnificent book ‘L’ere de Grand Bi’ (Claude Reynaud) gives us the following Clément production numbers:
34 in 1878
135 in 1879
1589 in 1884
4710 in 1889
12814 in 1894
In a graphic, the annual production by Clement in the periode 1878-1889:

The bikes that I know:
--: penny farthing, no number (or: not visible on pictures), estimated 1879.
--: penny farthing Stockdale collection, no number mentioned, estimated 1880-1882.
2457: penny farthing no. 1 (external link), they list it as 1887.
2483: penny farthing no. 2, (1885-1887?)
3472: three wheeler, estimate 1884-1885 by Claude Reynaud (external link), they list it as 1888...
7896: cross frame no 2, c 1888
13304: cross frame no. 1, pivot steering. Period 1887-1892.
16042: Cripper three wheeler, ca, 1888-1889 (external link)
20814: crossframe no.2, 1889-1890
22737, diamond frame, estimated quite exactly 1891
31469, diamond frame, estimated 1893-1894 (external link)
38486, diamond frame, estimated 1893-1895
42303: diamond frame, Batavus museum, 1894-95.
If they started no. 1 in 1878, no known Clement bicycle would fit the production statistics.
This way, statistics look a lot better, bikes like the penny farthings 2457 and 2483 now fit in the system.
I assumed a production of 5000 in 1890,
rising each year with 300 bikes.
New graphic: