Can I run K2-Horizon-3.7B on an RTX 3090?

Yes

Its published weights (10.1 GB) fit in the 21.6 GB an RTX 3090 can use, with room for ≈ 76K tokens of context.

Full analysis of K2-Horizon-3.7B Everything that runs on RTX 3090 Get the weights on Hugging Face

hf download IFM/K2-Horizon-3.7B

Files and context on RTX 3090

Each file of K2-Horizon-3.7B (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

File	Size	On RTX 3090	Context (16-bit)	Context (8-bit)
As published	10.1 GB	Fits	76K	152K
4-bit (estimate)	2.85 GB	Fits	124K	248K

K2-Horizon-3.7B on other hardware

NVIDIA H100Yes
RTX 5090Yes
RTX 4090Yes
RTX 3090Yes
RTX 5060 Ti 16 GBYes
RTX 3060 12 GBYes, just
RTX 4060Probably, at 4-bit
Mac with 32 GBYes
Mac with 64 GBYes
Mac with 128 GBYes

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Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.