A105388 Number of divisors of concatenated even numbers.

2, 8, 8, 6, 32, 12, 4, 48, 96, 48, 8, 40, 64, 24, 32, 32, 12, 96, 16, 448, 64, 48, 256, 16, 192, 36, 24, 640, 32, 192, 16, 32, 256, 72, 256, 288, 16, 384, 256, 256, 32, 12, 128, 60, 160, 1536, 2048, 64, 16, 2304, 64, 64, 96, 72, 32, 48, 512, 24, 256, 1536, 64, 72, 768, 40, 4096, 48, 16, 512, 1024, 48, 1024

Offset: 1

Author

Parthasarathy Nambi, Apr 30 2005

Keywords

• base
• nonn

Examples

			The number of divisors of 24 is 8 - which is the second term.
The number of divisors of 246 is 8 - which is the third term.
The number of divisors of 2468 is 6 - which is the fourth term.
		

Links

• Max Alekseyev, Table of n, a(n) for n = 1..90 (terms 88..89 from Tyler Busby).

Crossrefs

Cf. A019520, A108728 (number of distinct prime divisors).

Programs

Mathematica

Table[DivisorSigma[0,FromDigits[Flatten[IntegerDigits/@(2Range[n])]]],{n,30}] (* Harvey P. Dale, Dec 10 2016 *)

Extensions

More terms from Harvey P. Dale, Dec 10 2016

a(30)-a(69) from Michael S. Branicky, Feb 08 2021 (computed using prime factorizations linked in A108728)

Offset corrected and a(70)-a(71) added by Max Alekseyev, Mar 21 2023