Integer whose Digits when Grouped in 3s add to Multiple of 999 is Divisible by 999/Examples

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Examples of Integer whose Digits when Grouped in 3s add to Multiple of 999 is Divisible by 999

\(\ds 4 \times 999\) \(=\) \(\ds 3996\)
\(\ds \leadsto \ \ \) \(\ds 3 + 996\) \(=\) \(\ds 999\)
\(\ds 15 \times 999\) \(=\) \(\ds 14 \, 985\)
\(\ds \leadsto \ \ \) \(\ds 14 + 985\) \(=\) \(\ds 999\)
\(\ds 47 \times 999\) \(=\) \(\ds 46 \, 953\)
\(\ds \leadsto \ \ \) \(\ds 46 + 953\) \(=\) \(\ds 999\)
\(\ds 57 \times 999\) \(=\) \(\ds 56 \, 943\)
\(\ds \leadsto \ \ \) \(\ds 56 + 943\) \(=\) \(\ds 999\)