A095347 n sets a new record for number of iterations of A034690 (sum of digits of the divisors of n) needed to reach 15 (see A086793).

2, 5, 9, 10, 16, 18, 34, 36, 66, 162, 924, 71820, 127005777360

Offset: 1

Author

Jason Earls, Jun 03 2004

Keywords

• more
• nonn
• base

Comments

323203999999676796 takes 22 iterations to reach 15, but it probably is not the next term.

One could prefix a(0)=1 and change the definition to "... reach a fixed point, 1 or 15." - M. F. Hasler, Nov 08 2015

Links

• Eric Angelini et al., List the dividers [sic], sum the digits, lost messages reconstructed by _N. J. A. Sloane_, Dec 21 2024

Crossrefs

Cf. A034690, A086793, A094501.

Programs

PARI

m=0;for(n=1,9e9, A086793(n)>m||next;m=A086793(n);print1(n","))

Extensions

Offset corrected and a(13) from Donovan Johnson, Oct 28 2010