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%I #10 May 26 2015 12:14:49
%S 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,
%T 10000000000,100000000000,1111111111111,11111111111110,
%U 111111111111100,1111111111111000,11111111111110000,111111111111100000
%N Divisors of 16775168 (the 5th perfect number divided by 2), written in base 2.
%C a(n) has n digits. See A138815 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 16775168 (see A138815)
%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) ................... 32 = 2^5 ........... 100000
%e 7) ................... 64 = 2^6 ........... 1000000
%e 8) .................. 128 = 2^7 ........... 10000000
%e 9) .................. 256 = 2^8 ........... 100000000
%e 10) ................. 512 = 2^9 ........... 1000000000
%e 11) ................ 1024 = 2^10 .......... 10000000000
%e 12) A134708(5) = ... 2048 = 2^11 .......... 100000000000
%e 13) A000668(5) = ... 8191 = 2^13 - 2^0 .... 1111111111111
%e 14) ............... 16382 = 2^14 - 2^1 .... 11111111111110
%e 15) ............... 32764 = 2^15 - 2^2 .... 111111111111100
%e 16) ............... 65528 = 2^16 - 2^3 .... 1111111111111000
%e 17) .............. 131056 = 2^17 - 2^4 .... 11111111111110000
%e 18) .............. 262112 = 2^18 - 2^5 .... 111111111111100000
%e 19) .............. 524224 = 2^19 - 2^6 .... 1111111111111000000
%e 20) ............. 1048448 = 2^20 - 2^7 .... 11111111111110000000
%e 21) ............. 2096896 = 2^21 - 2^8 .... 111111111111100000000
%e 22) ............. 4193792 = 2^22 - 2^9 .... 1111111111111000000000
%e 23) ............. 8387584 = 2^23 - 2^10 ... 11111111111110000000000
%e 24) A133028(5) = 16775168 = 2^24 - 2^11 ... 111111111111100000000000
%t FromDigits[IntegerDigits[#,2]]&/@Divisors[16775168] (* _Harvey P. Dale_, May 26 2015 *)
%Y Perfect number divided by 2: A133028. Cf. A000043, A000396, A000668, A090748, A134708, A135654, A138815.
%K easy,fini,nonn,less
%O 1,2
%A _Omar E. Pol_, Mar 31 2008
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