Pluperfect Digital Invariant/Examples/5 Digits
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Examples of $5$-Digit Pluperfect Digital Invariants
The $5$-digit pluperfect digital invariants are:
| \(\ds 54 \, 748\) | \(=\) | \(\ds 3125 + 1024 + 16 \, 807 + 1024 + 32 \, 768\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 5^5 + 4^5 + 7^5 + 4^5 + 8^5\) |
| \(\ds 92 \, 727\) | \(=\) | \(\ds 59 \, 049 + 32 + 16 \, 807 + 32 + 16 \, 807\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 9^5 + 2^5 + 7^5 + 2^5 + 7^5\) |
| \(\ds 93 \, 084\) | \(=\) | \(\ds 59 \, 049 + 243 + 0 + 32 \, 768 + 1024\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 9^5 + 3^5 + 0^5 + 8^5 + 4^5\) |
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $54,748$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $54,748$
- Weisstein, Eric W. "Narcissistic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NarcissisticNumber.html