Pluperfect Digital Invariant/Examples/4 Digits
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Examples of $4$-Digit Pluperfect Digital Invariants
The $4$-digit pluperfect digital invariants are:
| \(\ds 1634\) | \(=\) | \(\ds 1 + 1296 + 81 + 256\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1^4 + 6^4 + 3^4 + 4^4\) |
| \(\ds 8208\) | \(=\) | \(\ds 4096 + 16 + 0 + 4096\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 8^4 + 2^4 + 0^4 + 8^4\) |
| \(\ds 9474\) | \(=\) | \(\ds 6561 + 256 + 2401 + 256\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 9^4 + 4^4 + 7^4 + 4^4\) |
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1634$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1634$
- Weisstein, Eric W. "Narcissistic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NarcissisticNumber.html