A109958 Concatenate n and the sum of primes dividing n (counting multiplicity).

10, 22, 33, 44, 55, 65, 77, 86, 96, 107, 1111, 127, 1313, 149, 158, 168, 1717, 188, 1919, 209, 2110, 2213, 2323, 249, 2510, 2615, 279, 2811, 2929, 3010, 3131, 3210, 3314, 3419, 3512, 3610, 3737, 3821, 3916, 4011, 4141, 4212, 4343, 4415, 4511, 4625, 4747

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

a(n) = 10^(A055652(A001414(n)))*n+A001414(n). - Robert Israel, Jun 26 2018

Maple

f:= proc(n) local q;
q:= add(t[1]*t[2], t=ifactors(n)[2]);
10^(1+ilog10(q))*n+q
end proc:
f(1):= 10:
map(f, [$1..100]); # Robert Israel, Jun 26 2018

Crossrefs

Cf. A001414, A109959.

Sequence in context: A302280 A350627 A367918 * A053361 A214153 A179887

Adjacent sequences: A109955 A109956 A109957 * A109959 A109960 A109961

Keyword

easy,nonn,base

Author

Jason Earls, Jul 06 2005

Status

approved