Multiple of Repdigit Base minus 1/Examples/3 times 6666 base 7

Example of Multiple of Repdigit Base minus 1

$3 \times 6666$ (base $7$) is equal to $26664$ (base $7$).

Proof

From Multiple of Repdigit Base minus 1:

the first digit of $3 \times 6666$ is $3 - 1 = 2$

the last digit of $3 \times 6666$ is $7 - 3 = 4$

there are $4 - 1 = 3$ instances of $6$ in between.

Hence:

$3 \times 6666 = 26664$

$\blacksquare$