Rounding 2.555500000000000104805053 with printf -> 2.555 or 2.556?

I tried

printf "%.3f\n" 2.555500000000000104805053
printf "%.3f\n" 2.555500000000000104805054

the result was

2.555
2.556

same with printf "%.3f\n" 3.555500000000000104805053 But 0.555500..., 1., 4., 5., 6., 7., 8., 9. are correct -> x.556 What is the problem with rounding with printf? - MacOS Ventura 13.2 - The shell is zsh 5.8.1 (x86_64-apple-darwin22.0), but it appears also in bash-3.2 - In ksh (shell) the output is identical (2.556) with both commands