A103124 1/5-Smith numbers.

399996663, 666609999, 669969663, 690696969, 699966663, 2789929969, 3066999963, 3366339999, 3366999933, 3399696663, 3399996633, 3666699663, 3669933993, 3933969693, 6066690999, 6069996663, 6099996633, 6393996933, 6399636963, 6666009999, 6669669633, 6966939633

Offset

1,1

Links

Table of n, a(n) for n=1..22.

S. S. Gupta, Smith Numbers.

W. L. McDaniel, The Existence of infinitely Many k-Smith numbers, Fibonacci Quarterly, 25(1987), pp. 76-80.

Example

399996663 is a 5^(-1) Smith number because the digit sum of 399996663, i.e., S(399996663) = 3 + 9 + 9 + 9 + 9 + 6 + 6 + 6 + 3 = 60, which is equal to 5 times the sum of the digits of its prime factors, i.e., 5*Sp(399996663) = 5*Sp(3*11*101*120011) = 5*(3 + 1 + 1 + 1 + 0 + 1 + 1 + 2 + 0 + 0 + 1 + 1) = 60.

Crossrefs

Cf. A006753.

Sequence in context: A103773 A172602 A108212 * A259224 A038132 A101770

Adjacent sequences: A103121 A103122 A103123 * A103125 A103126 A103127

Keyword

base,nonn

Author

Shyam Sunder Gupta, Mar 16 2005

Extensions

a(6)-a(22) from Donovan Johnson, Sep 20 2011

Status

approved