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A268036 Cubes of the prime factors (with multiplicity) of n add up to n. 2
1096744, 2836295, 4473671462, 23040925705, 13579716377989, 119429556097859 (list; graph; refs; listen; history; text; internal format)
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
S. P. Hurd and J. S. McCranie, Integers that are Sums of Uniform Powers of all their Prime Factors: the sequence A068916, 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
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

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Last modified April 21 01:36 EDT 2024. Contains 371850 sequences. (Running on oeis4.)