Arithmetic function
https://en.wikipedia.org/wiki/Arithmetic_function
An arithmetic function or number-theoretic function is any function whose domain is the set ℤᐩ (positive integers) and whose range is a subset of ℂ (the complex numbers).
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ᴀʙᴄᴅᴇꜰɢʜɪᴊᴋʟᴍɴᴏᴘǫʀsᴛᴜᴠᴡxʏᴢ
An example of an arithmetic function is the divisor function whose value at a positive integer n is equal to the number of divisors of n.
divisors(n) = D(n) = { x | ∀x ∈ ℕ. x∣n ∧ 0<=x<=n }
divisors(28) = D(28) = { x | ∀x ∈ ℕ. x∣28 ∧ 0<=x<=n } = {1,2,4,7,14,28}
d(n) = |D(n)|
d(28) = |D(28)| = 6
divisor: n ⟼ d(n)
divisor(n) = d(n)
divisor(28) = 6
divisor(1) = 1
divisor(2) = 2
divisor(3) = 2
divisor(4) = 3
⨍ᴅᴏᴍ ⨍ᴰᴼᴹ ⨍ʀᴀɴ ⨍ᴿᴬᴺ ⨍ʳᵃⁿ ⨍ʳᵃᶰ ⨍ᵣₐₙ
∮ᴅᴏᴍ ∮ᴰᴼᴹ ∮ʀᴀɴ ∮ᴿᴬᴺ ∮ʳᵃⁿ ∮ʳᵃᶰ ∮ᵣₐₙ
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