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Erdős–Nicolas number
In number theory, an Erdős–Nicolas number is a number that is not perfect, but for which there exists a number m such that
\( \sum_{d\mid n,\ d\leq m}d=n \). [1]
The first ten Erdős–Nicolas numbers are
24, 2016, 8190, 42336, 45864, 392448, 714240, 1571328, 61900800 and 91963648. (OEIS A194472)
They are named after Paul Erdős and Jean-Louis Nicolas, who wrote about them in 1975.[2]
References
De Koninck, Jean-Marie (2009). Those Fascinating Numbers. p. 141. ISBN 978-0-8218-4807-4.
Erdős, P.; Nicolas, J.L. (1975), "Répartition des nombres superabondants" (PDF), Bull. Soc. Math. France (103): 65–90, Zbl 0306.10025
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