Kaprekar's Symmetry/Examples

Examples of Kaprekar's Symmetry

\(\ds 1 + 9\)

\(=\)

\(\ds 10\)

$1$st and $2$nd Kaprekar numbers

\(\ds 45 + 55\)

\(=\)

\(\ds 100\)

$3$rd and $4$th Kaprekar numbers

\(\ds 297 + 703\)

\(=\)

\(\ds 1000\)

$6$th and $7$th Kaprekar numbers

\(\ds 2223 + 7777\)

\(=\)

\(\ds 10 \, 000\)

$9$th and $16$th Kaprekar numbers

\(\ds 2728 + 7272\)

\(=\)

\(\ds 10 \, 000\)

$10$th and $15$th Kaprekar numbers

\(\ds 04879 + 95 \, 121\)

\(=\)

\(\ds 100 \, 000\)

$11$th and $23$rd Kaprekar numbers

\(\ds 4950 + 5050\)

\(=\)

\(\ds 10 \, 000\)

$12$th and $13$th Kaprekar numbers

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $297$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $297$