A138824 Divisors of 4064 (the 4th perfect number divided by 2), written in base 2.

1, 10, 100, 1000, 10000, 100000, 1111111, 11111110, 111111100, 1111111000, 11111110000, 111111100000

Offset: 1

Author

Omar E. Pol, Mar 31 2008

Keywords

• easy
• fini
• full
• nonn
• less

Comments

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

Examples

			The structure of divisors of 4064 (see A138814)
.................................................................
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) A134708(4) = .. 32 = 2^5 ........... 100000
7) A000668(4) = . 127 = 2^7 - 2^0 ..... 1111111
8) .............. 254 = 2^8 - 2^1 ..... 11111110
9) .............. 508 = 2^9 - 2^2 ..... 111111100
10) ............ 1016 = 2^10- 2^3 ..... 1111111000
11) ............ 2032 = 2^11- 2^4 ..... 11111110000
12) A133028(4) = 4064 = 2^12- 2^5 ..... 111111100000
		

Links

• Index entries for sequences related to divisors of numbers

Crossrefs

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

Programs

Mathematica

FromDigits/@(IntegerDigits[#,2]&/@Divisors[4064]) (* Harvey P. Dale, Oct 12 2016 *)