OEIS A000173: Unitary Sociable Numbers, Smallest Member of Each Cycle

Join us for a concise tour of unitary divisors and unitary aliquot sequences. We’ll unpack what unitary divisors are (each prime power either fully included or omitted), how the sum of proper unitary divisors defines a unitary aliquot sequence, and what it means to be in a unitary sociable cycle. Learn how the OEIS entry A000173 catalogs the smallest member of each known cycle, see the famous unitary amicable pair 114 and 126, and hear what is known (and still open) about these intriguing cycles.

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