Cubic Recurring Digital Invariant/Examples/55

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: \ \ $

$\ds 1^3 + 3^3 + 3^3$

$=$

$\ds 1 + 27 + 27$

$\ds = 55$

$\blacksquare$

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