A138825 Divisors of 16775168 (the 5th perfect number divided by 2), written in base 2.

1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1111111111111, 11111111111110, 111111111111100, 1111111111111000, 11111111111110000, 111111111111100000

Offset: 1

Author

Omar E. Pol, Mar 31 2008

Keywords

• easy
• fini
• nonn
• less

Comments

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

Examples

			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
		

Links

• Index entries for sequences related to divisors of numbers

Crossrefs

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

Programs

Mathematica

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