Pluperfect Digital Invariant/Examples/8 Digits
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Examples of $8$-Digit Pluperfect Digital Invariants
The $8$-digit pluperfect digital invariants are:
| \(\ds 24 \, 678 \, 050\) | \(=\) | \(\ds 256 + 65 \, 536 + 1 \, 679 \, 616 + 5 \, 764 \, 801 + 16 \, 777 \, 216 + 0 + 390 \, 625 + 0\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 2^8 + 4^8 + 6^8 + 7^8 + 8^8 + 0^8 + 5^8 + 0^8\) |
| \(\ds 24 \, 678 \, 051\) | \(=\) | \(\ds 256 + 65 \, 536 + 1 \, 679 \, 616 + 5 \, 764 \, 801 + 16 \, 777 \, 216 + 0 + 390 \, 625 + 1\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 2^8 + 4^8 + 6^8 + 7^8 + 8^8 + 0^8 + 5^8 + 1^8\) |
| \(\ds 88 \, 593 \, 477\) | \(=\) | \(\ds 16 \, 777 \, 216 + 16 \, 777 \, 216 + 390 \, 625 + 43 \, 046 \, 721 + 6561 + 65 \, 536 + 5 \, 764 \, 801 + 5 \, 764 \, 801\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 8^8 + 8^8 + 5^8 + 9^8 + 3^8 + 4^8 + 7^8 + 7^8\) |
Sources
- Weisstein, Eric W. "Narcissistic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NarcissisticNumber.html