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A138825 Divisors of 16775168 (the 5th perfect number divided by 2), written in base 2. 1
1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1111111111111, 11111111111110, 111111111111100, 1111111111111000, 11111111111110000, 111111111111100000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) has n digits. See A138815 for more information.

LINKS

Table of n, a(n) for n=1..18.

Index entries for sequences related to divisors of numbers

EXAMPLE

The structure of divisors of 16775168 (see A138815)

.....................................................................

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

.....................................................................

1) .................... 1 = 2^0 ........... 1

2) .................... 2 = 2^1 ........... 10

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

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

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

6) ................... 32 = 2^5 ........... 100000

7) ................... 64 = 2^6 ........... 1000000

8) .................. 128 = 2^7 ........... 10000000

9) .................. 256 = 2^8 ........... 100000000

10) ................. 512 = 2^9 ........... 1000000000

11) ................ 1024 = 2^10 .......... 10000000000

12) A134708(5) = ... 2048 = 2^11 .......... 100000000000

13) A000668(5) = ... 8191 = 2^13 - 2^0 .... 1111111111111

14) ............... 16382 = 2^14 - 2^1 .... 11111111111110

15) ............... 32764 = 2^15 - 2^2 .... 111111111111100

16) ............... 65528 = 2^16 - 2^3 .... 1111111111111000

17) .............. 131056 = 2^17 - 2^4 .... 11111111111110000

18) .............. 262112 = 2^18 - 2^5 .... 111111111111100000

19) .............. 524224 = 2^19 - 2^6 .... 1111111111111000000

20) ............. 1048448 = 2^20 - 2^7 .... 11111111111110000000

21) ............. 2096896 = 2^21 - 2^8 .... 111111111111100000000

22) ............. 4193792 = 2^22 - 2^9 .... 1111111111111000000000

23) ............. 8387584 = 2^23 - 2^10 ... 11111111111110000000000

24) A133028(5) = 16775168 = 2^24 - 2^11 ... 111111111111100000000000

MATHEMATICA

FromDigits[IntegerDigits[#, 2]]&/@Divisors[16775168] (* Harvey P. Dale, May 26 2015 *)

CROSSREFS

Perfect number divided by 2: A133028. Cf. A000043, A000396, A000668, A090748, A134708, A135654, A138815.

Sequence in context: A178500 A178501 A011557 * A290664 A290545 A290831

Adjacent sequences:  A138822 A138823 A138824 * A138826 A138827 A138828

KEYWORD

easy,fini,nonn,less

AUTHOR

Omar E. Pol, Mar 31 2008

STATUS

approved

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Last modified December 15 00:30 EST 2019. Contains 329988 sequences. (Running on oeis4.)