Definition:Recurring Digital Invariant/4th Order/Examples
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Examples of $4$th Order Recurring Digital Invariants
2178
$2178$ is a $4$th order recurring digital invariant:
\(\ds 2178: \ \ \) | \(\ds 2^4 + 1^4 + 7^4 + 8^4\) | \(=\) | \(\ds 16 + 1 + 2401 + 4096\) | \(\ds = 6514\) | ||||||||||
\(\ds 6514: \ \ \) | \(\ds 6^4 + 5^4 + 1^4 + 4^4\) | \(=\) | \(\ds 1296 + 625 + 1 + 256\) | \(\ds = 2178\) |
$\blacksquare$