It’s also works for multiples of 9, which is one less than our base. 3 is the square root of 9, so also works.
This generalizes to every base n, for n-1, and also any ~~root~~ factor of (n-1). In base-6, the trick works for mutiples of 5. In base-17, it would work for multiples of 16, but also multiples of 2, 4 or 8.
It’s also works for multiples of 9, which is one less than our base. 3 is the square root of 9, so also works.
This generalizes to every base n, for n-1, and also any ~~root~~ factor of (n-1). In base-6, the trick works for mutiples of 5. In base-17, it would work for multiples of 16, but also multiples of 2, 4 or 8.
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