$\exists:$ another solution $:\big|:$ Someone shall present it.
"It is better to solve one problem five different
ways, than to solve five problems one way."
George Pólya (1887 - 1985)

$\exists:$ something $:\big|:$ I've overlooked it.
"The Art of being wise is the Art of knowing what to overlook."
William James (1842 - 1910)

An answer of mine, regarding Kaprekar's constant $6174$
Quite happy with it, despite still being incomplete.