Three Tri-Automorphic Numbers for each Number of Digits/Examples
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Examples of Three Tri-Automorphic Numbers for each Number of Digits
Tri-Automorphic Numbers with $4$ Digits
The $3$ tri-automorphic numbers with $4$ digits are:
\(\text {(6667)}: \quad\) | \(\ds 3 \times 6667^2\) | \(=\) | \(\ds 133 \, 34 \mathbf {6 \, 667}\) | |||||||||||
\(\text {(6875)}: \quad\) | \(\ds 3 \times 6875^2\) | \(=\) | \(\ds 141 \, 79 \mathbf {6 \, 875}\) | |||||||||||
\(\text {(9792)}: \quad\) | \(\ds 3 \times 9792^2\) | \(=\) | \(\ds 287 \, 64 \mathbf {9 \, 792}\) |
Tri-Automorphic Numbers with $10$ Digits
The $3$ tri-automorphic numbers with $10$ digits are:
\(\text {(6 666 666 667)}: \quad\) | \(\ds 3 \times 6 \, 666 \, 666 \, 667^2\) | \(=\) | \(\ds 133 \, 333 \, 333 \, 34 \mathbf {6 \, 666 \, 666 \, 667}\) | |||||||||||
\(\text {(7 262 369 792)}: \quad\) | \(\ds 3 \times 7 \, 262 \, 369 \, 792^2\) | \(=\) | \(\ds 158 \, 226 \, 044 \, 98 \mathbf {7 \, 262 \, 369 \, 792}\) | |||||||||||
\(\text {(9 404 296 875)}: \quad\) | \(\ds 3 \times 9 \, 404 \, 296 \, 875^2\) | \(=\) | \(\ds 265 \, 322 \, 399 \, 13 \mathbf {9 \, 404 \, 296 \, 875}\) |