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Equation 2 · Part 4 · How Grok and Colossus Actually Work, as Far as the Record Shows

=

PˉGPU,2=PtotalN2=2,000 MW555,000≈3.6 kW per GPU,\bar{P}_{\text{GPU},2} = \frac{P_{\text{total}}}{N_2} = \frac{2{,}000\ \text{MW}}{555{,}000} \approx 3.6\ \text{kW per GPU},
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Colossus 2 is the clearest example of a figure that belongs squarely in the vendor-claim column rather than the confirmed-fact one. On December 30, 2025, Elon Musk announced that xAI had purchased a third building in Memphis, expanding the campus toward a stated 2-gigawatt total capacity and roughly 555,000 GPUs, reported to represent about $18 billion in accelerator purchases — implying, by simple division, something on the order of $32,000 per GPU [ 10 ] . The reporting is explicit that this is Musk’s own announcement rather than an independently audited figure, and the newer accelerator generation involved (GB200- and GB300-class parts, alongside roughly 30,000 legacy H100/H200 units…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.