Cubic Recurring Digital Invariant/Examples/919

Example of Cubic Recurring Digital Invariant

$919$ is a cubic recurring digital invariant:

\(\ds 919: \ \ \) \(\ds 9^3 + 1^3 + 9^3\) \(=\) \(\ds 729 + 1 + 729\) \(\ds = 1459\)
\(\ds 1459: \ \ \) \(\ds 1^3 + 4^3 + 5^3 + 9^3\) \(=\) \(\ds 1 + 64 + 125 + 729\) \(\ds = 919\)

$\blacksquare$


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $153$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $153$