# Erdős–Nicolas number

Named after Paul Erdős, Jean-Louis Nicolas 1975 Erdős, P., Nicolas, J. L. Abundant numbers 24, 2016, 8190 1371332329173024768 A194472

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. ()

They are named after Paul Erdős and Jean-Louis Nicolas, who wrote about them in 1975.[2]

## References

1. ^ De Koninck, Jean-Marie (2009). Those Fascinating Numbers. p. 141. ISBN 978-0-8218-4807-4.
2. ^ Erdős, P.; Nicolas, J.L. (1975), "Répartition des nombres superabondants", Bull. Soc. Math. France (103): 65–90, Zbl 0306.10025