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Published equation contexts

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}

Why this formula appears here

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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PˉGPU,2\bar{P}_{\text{GPU},2}

Symbol barP_GPU,2

barPGP_GPU,2 is part of the quantity the equation computes from the expression on the right.

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PtotalP_{\text{total}}

Symbol P_total

PtP_total occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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N2N_2

Symbol N_2

N2N_2 occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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555,000555{,}000

Denominator: 555,000

The complete quantity below the fraction bar; it must be nonzero for this division.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Its accuracy depends on the assumptions and range of use described in the article. Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

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},

Equation 2 · AI Industry

How Grok and Colossus Actually Work, as Far as the Record Shows

This equation gives an approximation: it relates the quantities while allowing an approximation.

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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