Sequence of 9 Consecutive Integers each with 48 Divisors

Theorem
The $9$ integers beginning $17 \, 796 \, 126 \, 877 \, 482 \, 329 \, 126 \, 044$ each has $48$ divisors.

Proof
In the below, $\tau$ denotes the divisor counting ($\tau$) function.

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