

A268036


Cubes of the prime factors (with multiplicity) of n add up to n.


2




OFFSET

1,1


COMMENTS

a(1) = A068916(3).
13579716377989 and 119429556097859 are also terms, but it is not known if they are the next ones.  Jud McCranie, Feb 09 2016


LINKS

Table of n, a(n) for n=1..6.
S. P. Hurd and J. S. McCranie, Integers that are the Uniform Sum of Uniform Powers of all their Prime Factors, J. of Int. Seq., vol 22 (2019), article 19.3.4.


EXAMPLE

1096744 = 2^3 * 11^3 * 103 = 2^3+2^3+2^3+11^3+11^3+11^3+103^3.


PROG

(PARI) isok(n) = {my(f = factor(n)); sum(k=1, #f~, f[k, 1]^3*f[k, 2]) == n; } \\ Michel Marcus, Feb 09 2016


CROSSREFS

Cf. A068916, A067688 (a more inclusive sequence), A058041.
Sequence in context: A077647 A172647 A172754 * A184384 A086212 A316481
Adjacent sequences: A268033 A268034 A268035 * A268037 A268038 A268039


KEYWORD

nonn,more


AUTHOR

Jud McCranie, Jan 24 2016


EXTENSIONS

a(5) from Jud McCranie, Feb 13 2016
a(6) from Jud McCranie, Mar 20 2016


STATUS

approved



