A268036 Cubes of the prime factors (with multiplicity) of n add up to n.

1096744, 2836295, 4473671462, 23040925705, 13579716377989, 119429556097859

Offset: 1

Author

Jud McCranie, Jan 24 2016

Keywords

• nonn
• more

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

Examples

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

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.

Crossrefs

Cf. A068916, A067688 (a more inclusive sequence), A058041.

Programs

PARI

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

Extensions

a(5) from Jud McCranie, Feb 13 2016

a(6) from Jud McCranie, Mar 20 2016