A085123 Smallest member of A002473 whose digital product = A002473(n), or 0 if no such number exists.

1, 2, 3, 4, 5, 6, 7, 8, 9, 25, 126, 27, 35, 28, 36, 45, 0, 64

Offset: 1

Author

Amarnath Murthy, Jul 06 2003

Keywords

• base
• nonn
• more

Comments

Conjecture: No entry is zero.

Next term (A002473(n) = 21) is either 0 or > 10^100. - David Wasserman, Jan 27 2005

a(17) = 0, because A002473(17) = 21 = 3*7 and the last two digits of every member of A002473 greater than 7 contain a digit other than 1, 3, and 7. - Robert Israel, Nov 23 2019

Similarly, a(n) = 0 whenever n >=17 and A002473(n) is coprime to 10. - Robert Israel, Nov 24 2019

Examples

			20 is a member of A002473 and the corresponding term is 45 which is also a member of A002473.
		

Crossrefs

Cf. A002473, A068129.

Cf. A068189.

Extensions

a(17) and a(18) from Robert Israel, Nov 23 2019