Perfect Digit-to-Digit Invariant/Examples/3435
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Example of Perfect Digit-to-Digit Invariant
$3435$ is a perfect digit-to-digit invariant:
- $3435 = 3^3 + 4^4 + 3^3 + 5^5$
Proof
| \(\ds \) | \(\) | \(\ds 3^3 + 4^4 + 3^3 + 5^5\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 27 + 256 + 27 + 3125\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 3435\) |
$\blacksquare$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3435$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3435$