Pluperfect Digital Invariant/Examples/10 Digits
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Examples of $10$-Digit Pluperfect Digital Invariants
The only $10$-digit pluperfect digital invariant is:
| \(\ds 4 \, 679 \, 307 \, 774\) | \(=\) | \(\ds 1 \, 048 \, 576 + 60 \, 466 \, 176 + 282 \, 475 \, 249 + 3 \, 486 \, 784 \, 401 + 59 \, 049 + 0 + 282 \, 475 \, 249 + 282 \, 475 \, 249 + 282 \, 475 \, 249 + 1 \, 048 \, 576\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 4^{10} + 6^{10} + 7^{10} + 9^{10} + 3^{10} + 0^{10} + 7^{10} + 7^{10} + 7^{10} + 4^{10}\) |
Historical Note
According to David Wells, as reported in his $1985$ work Curious and Interesting Numbers, this $10$-digit pluperfect digital invariant was discovered by Harry L. Nelson.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $4,679,307,774$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4,679,307,774$
- Weisstein, Eric W. "Narcissistic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NarcissisticNumber.html