Perfect Digit-to-Digit Invariant/Examples/438,579,088
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Example of Perfect Digit-to-Digit Invariant
$438 \, 579 \, 088$ is a perfect digit-to-digit invariant:
- $438 \, 579 \, 088 = 4^4 + 3^3 + 8^8 + 5^5 + 7^7 + 9^9 + 0^0 + 8^8 + 8^8$
Proof
| \(\ds \) | \(\) | \(\ds 4^4 + 3^3 + 8^8 + 5^5 + 7^7 + 9^9 + 0^0 + 8^8 + 8^8\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 256 + 27 + 16 \, 777 \, 216 + 3125 + 823 \, 543 + 387 \, 420 \, 489 + 0 + 16 \, 777 \, 216 + 16 \, 777 \, 216\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 438 \, 579 \, 088\) |
$\blacksquare$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $438,579,088$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $438,579,088$