Here's a stripped down version of \lettrine (called \hangnum) that puts the number on the margin, regadless of its width. It uses lettrine's machinery to compute the font sizes, so it requires the package to be loaded:

\documentclass[12pt]{article}
\usepackage{type1cm}
\usepackage{lettrine}
\newcommand*{\DefaultNhang}{1.34}% controls the spacing
\makeatletter
\DeclareRobustCommand\hangnum[1]{%
\def\l@initial{#1\kern\DefaultNhang pt}%
\setcounter{L@lines}{\value{DefaultLines}}%
\renewcommand*{\L@oversize}{\DefaultLoversize}%
\sbox{\L@tbox}{\LettrineTextFont{\LettrineSecondString}}%
\setupL@lbox
\setlength{\L@lraise}{\DefaultLraise\L@target@tht}%
\ifnum\value{L@lines}=1 \else\addtolength{\L@lraise}{-\L@target@dp}\fi
\par \noindent
\smash{\llap{\raisebox{\L@lraise}{\usebox{\L@lbox}}}}%
\ignorespaces}
\makeatother
\begin{document}
\hangnum{1} Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod
tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam,
quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo
consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse
cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non
proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
\hangnum{11} Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod
tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam,
quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo
consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse
cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non
proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
\end{document}
\DefaultLhang? Please provide an MWE (from\documentclass...to `\end{document}) that we can process that shows your problem. --- GOM – Peter Wilson May 19 '21 at 17:48