Cubic Recurring Digital Invariant/Examples/55
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Example of Cubic Recurring Digital Invariant
$55$ is a cubic recurring digital invariant:
\(\ds 55: \ \ \) | \(\ds 5^3 + 5^3\) | \(=\) | \(\ds 125 + 125\) | \(\ds = 250\) | ||||||||||
\(\ds 250: \ \ \) | \(\ds 2^3 + 5^3 + 0^3\) | \(=\) | \(\ds 8 + 125 + 0\) | \(\ds = 133\) | ||||||||||
\(\ds 133: \ \ \) | \(\ds 1^3 + 3^3 + 3^3\) | \(=\) | \(\ds 1 + 27 + 27\) | \(\ds = 55\) |
$\blacksquare$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $55$
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $153$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $55$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $153$
- Weisstein, Eric W. "Recurring Digital Invariant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RecurringDigitalInvariant.html