diff --git a/src/output.rs b/src/output.rs
index dc90127..4bf8ddf 100644
--- a/src/output.rs
+++ b/src/output.rs
@@ -30,13 +30,13 @@ impl<'a> OutputWriter<'a> {
         }
     }
 
-    /// Returns true if line numbers will be padded with whitespace (`-T`),
-    /// which means that you should call `set_line_number_width`.
+    /// Returns true if line numbers or byte offsets will be padded with
+    /// whitespace (`-T`), which means that you should call `set_line_number_width`.
     pub fn wants_padded_line_numbers(&self) -> bool {
-        self.config.initial_tab && self.config.line_number
+        self.config.initial_tab && (self.config.line_number || self.config.byte_offset)
     }
 
-    /// Set the minimum field width for line numbers (used with `-T`).
+    /// Set the minimum field width for line numbers and byte offsets (used with `-T`).
     ///
     /// It's sort of wrong for this to be a setter, because it's technically
     /// per-session state in searcher.rs, but it's convenient and it's cheap.
@@ -143,9 +143,10 @@ impl<'a> OutputWriter<'a> {
         }
 
         if self.config.byte_offset {
+            let width = self.line_number_width;
             self.write_colored_fmt(
                 self.config.color_config.byte_offset,
-                format_args!("{}", byte_offset),
+                format_args!("{:>width$}", byte_offset, width = width),
             )?;
             self.write_separator(sep_char)?;
         }
diff --git a/src/searcher.rs b/src/searcher.rs
index 64c4c40..9ab9416 100644
--- a/src/searcher.rs
+++ b/src/searcher.rs
@@ -39,6 +39,11 @@ pub struct Searcher<'a> {
     session_last_match_end: u64,
 }
 
+/// The `-T` field width for an input of `size` bytes: the digits of its size.
+fn padded_width(size: u64) -> usize {
+    size.max(1).ilog10() as usize + 1
+}
+
 impl<'a> Searcher<'a> {
     pub fn new(config: &'a Config<'a>, matcher: Matcher<'a>, writer: OutputWriter<'a>) -> Self {
         Self {
@@ -107,9 +112,14 @@ impl<'a> Searcher<'a> {
 
         let path = Path::new(&self.config.label);
 
-        // Stdin is not seekable; use fixed width.
+        // Like a named file, a regular file on stdin sizes the field from its
+        // length; anything else (a pipe, a terminal) gets a fixed width.
         if self.writer.wants_padded_line_numbers() {
-            self.writer.set_line_number_width(19);
+            let width = match stdin.metadata() {
+                Ok(m) if m.is_file() => padded_width(m.len()),
+                _ => 19,
+            };
+            self.writer.set_line_number_width(width);
         }
 
         // Where standard input was before we started buffering ahead of it.
@@ -208,8 +218,7 @@ impl<'a> Searcher<'a> {
         let result = File::open(path).and_then(|mut file| {
             if self.writer.wants_padded_line_numbers() {
                 let file_size = file.metadata().map_or(0, |m| m.len());
-                self.writer
-                    .set_line_number_width(file_size.max(1).ilog10() as usize + 1);
+                self.writer.set_line_number_width(padded_width(file_size));
             }
             self.session_run(lb, path, &mut file)
         });
diff --git a/tests/test_grep.rs b/tests/test_grep.rs
index 83a472f..1772ffd 100644
--- a/tests/test_grep.rs
+++ b/tests/test_grep.rs
@@ -1049,6 +1049,37 @@ fn line_number_and_byte_offset_prefixes() {
         .stdout_contains("1:\tx\n");
 }
 
+#[test]
+fn initial_tab_pads_to_the_input_size() {
+    // GNU grep pads line numbers and byte offsets under -T to the number of
+    // digits of the input's size; 100 bytes gives three columns.
+    let (scene, mut c) = ucmd();
+    let text = format!("{}x\n", "a".repeat(98));
+    scene.fixtures.write("f", &text);
+    let expected = format!("  1:  0:\t{text}");
+    c.args(&["-T", "-n", "-b", "x", "f"])
+        .succeeds()
+        .stdout_only(&expected);
+
+    // A regular file on stdin is sized the same way.
+    scene
+        .cmd(env!("CARGO_BIN_EXE_grep"))
+        .args(&["-T", "-n", "-b", "x"])
+        .set_stdin(std::fs::File::open(scene.fixtures.plus("f")).unwrap())
+        .succeeds()
+        .stdout_only(&expected);
+
+    // A pipe has no size, so it gets the fixed width. On Windows the
+    // metadata of a pipe looks like a regular file's.
+    #[cfg(unix)]
+    scene
+        .cmd(env!("CARGO_BIN_EXE_grep"))
+        .args(&["-bT", "x"])
+        .pipe_in("x\n")
+        .succeeds()
+        .stdout_only(format!("{:>19}:\tx\n", 0));
+}
+
 #[test]
 fn null_filename_separator() {
     let (scene, mut c) = ucmd();