%I #10 Oct 12 2016 16:11:38

%S 1,10,100,1000,10000,100000,1111111,11111110,111111100,1111111000,

%T 11111110000,111111100000

%N Divisors of 4064 (the 4th perfect number divided by 2), written in base 2.

%C a(n) has n digits. See A138814 for more information.

%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>

%e The structure of divisors of 4064 (see A138814)

%e .................................................................

%e n ........... Divisor . Formula ....... Divisor written in base 2

%e .................................................................

%e 1) ................ 1 = 2^0 ........... 1

%e 2) ................ 2 = 2^1 ........... 10

%e 3) ................ 4 = 2^2 ........... 100

%e 4) ................ 8 = 2^3 ........... 1000

%e 5) ............... 16 = 2^4 ........... 10000

%e 6) A134708(4) = .. 32 = 2^5 ........... 100000

%e 7) A000668(4) = . 127 = 2^7 - 2^0 ..... 1111111

%e 8) .............. 254 = 2^8 - 2^1 ..... 11111110

%e 9) .............. 508 = 2^9 - 2^2 ..... 111111100

%e 10) ............ 1016 = 2^10- 2^3 ..... 1111111000

%e 11) ............ 2032 = 2^11- 2^4 ..... 11111110000

%e 12) A133028(4) = 4064 = 2^12- 2^5 ..... 111111100000

%t FromDigits/@(IntegerDigits[#,2]&/@Divisors[4064]) (* _Harvey P. Dale_, Oct 12 2016 *)

%Y Perfect number divided by 2: A133028. Cf. A000043, A000396, A000668, A090748, A134708, A135654, A138814.

%K easy,fini,full,nonn,less

%O 1,2

%A _Omar E. Pol_, Mar 31 2008