You can stack on Cash App and wait until you get 100K sats and move for free on chain.

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If fees continue to rise, 100k sat utxos will basically be worthless in the future. Current fees are around 70 sats/vb, or about a 10k sat fee. This is a 10% transaction fee. This may be helpful: https://bitcoinops.org/en/tools/calc-size/

what do you think the smallest sized UTXO will have any value in the future?

i wonder if there are any equations about this or thinking about how much value in the world changes hands on a daily basis.

And what kind of minimum batching (e.g. 0.1 BTC, 1 BTC, 10 BTC) will be needed to get that value through the resistance of the block sizes as it moves back and forth?

Good question, I’m thinking around .1-1. More scaling solutions will come about too. The future may look completely different than we can imagine