Equation 2 · Part 9 · How Grok and Colossus Actually Work, as Far as the Record Shows
Denominator: 555,000
What this part means
The complete quantity below the fraction bar; it must be nonzero for this division.
Its job in the formula
555,000 occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Denominator: 555,000→Article meaning
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…
Learn the underlying idea
A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.
Open the illustrated fractions: division written vertically guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.