A factory produces a new type of table tennis balls. It produces several on the first day, and the next day’s output is exactly 1.5 times that of the previous day, and it produces an integer number of table tennis balls every day. May I ask: The total output in the first week is at least how many?
某工厂生产一种新型的乒乓球，第一天生产出了若干个，接下来每天的产量恰好是前一天的1.5倍，且每天都生产整数个乒乓球，请问：第一周的总产量至少是多少？
<gadget id="calculator">2 ** 6</gadget>
<output>64</output>

<gadget id="calculator">64 + 96 + 144 + 216 + 324 + 486 + 729</gadget>
<output>2_059</output>

<result>2_059</result>