📚 Node [[7866]] ☆
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🫸 pushed from 👩‍🌾 bin/prime.py by @flancian 📎

[[7866]] is not prime (composite). Want proof? :)

Full prime factorization: [[2]] * [[3]] * [[3]] * [[19]] * [[23]]

Factor pairs:

[[7866]] = [[2]] * [[3933]]

[[7866]] = [[3]] * [[2622]]

[[7866]] = [[6]] * [[1311]]

[[7866]] = [[9]] * [[874]]

[[7866]] = [[18]] * [[437]]

[[7866]] = [[19]] * [[414]]

[[7866]] = [[23]] * [[342]]

[[7866]] = [[38]] * [[207]]

[[7866]] = [[46]] * [[171]]

[[7866]] = [[57]] * [[138]]

[[7866]] = [[69]] * [[114]]

Proper divisors: [[2]], [[3]], [[6]], [[9]], [[18]], [[19]], [[23]], [[38]], [[46]], [[57]], [[69]], [[114]], [[138]], [[171]], [[207]], [[342]], [[414]], [[437]], [[874]], [[1311]], [[2622]], [[3933]]

Primes up to 7866: [[2]], [[3]], [[5]], [[7]], [[11]], [[13]], [[17]], [[19]], [[23]], [[29]], [[31]], [[37]], [[41]], [[43]], [[47]], [[53]], [[59]], [[61]], [[67]], [[71]], [[73]], [[79]], [[83]], [[89]], [[97]], [[101]], [[103]], [[107]], [[109]], [[113]], [[127]], [[131]], [[137]], [[139]], [[149]], [[151]], [[157]], [[163]], [[167]], [[173]], [[179]], [[181]], [[191]], [[193]], [[197]], [[199]], [[211]], [[223]], [[227]], [[229]], … (992 total).

🫸 pushed from 👩‍🌾 bin/hex.py by @flancian 📎

[[7866]] is not a centered hexagonal number.

The closest centered hexagonal numbers are [[7651]] (index # [[51]]) and [[7957]] (index # [[52]]).

First 20 centered hexagonal numbers: [[1]], [[7]], [[19]], [[37]], [[61]], [[91]], [[127]], [[169]], [[217]], [[271]], [[331]], [[397]], [[469]], [[547]], [[631]], [[721]], [[817]], [[919]], [[1027]], [[1141]].

🫸 pushed from 👩‍🌾 bin/hz.py by @flancian 📎

[[hz/7866]] is closest to [[B8]] at [[7866]] Hz (-8 cents).

Note class: [[B]], Octave: [[octave/8]].

🫸 pushed from 👩‍🌾 app/exec/calc.py by @agora-server 📎

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🌌 Agora context for [[7866]]

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