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 A135655 Divisors of 33550336 (the 5th perfect number), written in base 2. 13
 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 1111111111111, 11111111111110, 111111111111100, 1111111111111000, 11111111111110000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The number of divisors of the 5th perfect number is equal to 2*A000043(5)=A061645(5)=26. LINKS Omar E. Pol, Table of n, a(n) for n = 1..26 (shows all terms). FORMULA a(n)=A133025(n), written in base 2. Also, for n=1 .. 26: If n<=(A000043(5)=13) then a(n) is the concatenation of the digit "1" and n-1 digits "0" else a(n) is the concatenation of A000043(5)=13 digits "1" and (n-1-A000043(5)) digits "0". EXAMPLE The structure of divisors of 33550336 (see A133025) ------------------------------------------------------------------------ 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)........ 2048 = 2^11 .......... 100000000000 13) ....... 4096 = 2^12 .......... 1000000000000 ... (The 5th superperfect number) 14) ....... 8191 = 2^13 - 2^0 .... 1111111111111 ... (The 5th Mersenne prime) 15) ...... 16382 = 2^14 - 2^1 .... 11111111111110 16) ...... 32764 = 2^15 - 2^2 .... 111111111111100 17) ...... 65528 = 2^16 - 2^3 .... 1111111111111000 18) ..... 131056 = 2^17 - 2^4 .... 11111111111110000 19) ..... 262112 = 2^18 - 2^5 .... 111111111111100000 20) ..... 524224 = 2^19 - 2^6 .... 1111111111111000000 21) .... 1048448 = 2^20 - 2^7 .... 11111111111110000000 22) .... 2096896 = 2^21 - 2^8 .... 111111111111100000000 23) .... 4193792 = 2^22 - 2^9 .... 1111111111111000000000 24) .... 8387584 = 2^23 - 2^10 ... 11111111111110000000000 25) ... 16775168 = 2^24 - 2^11 ... 111111111111100000000000 26) ... 33550336 = 2^25 - 2^12 ... 1111111111111000000000000 ... (The 5th perfect number) CROSSREFS For more information see A133025 (Divisors of 33550336). Cf. A000043, A000079, A000396, A000668, A019279, A061645, A061652. Sequence in context: A260522 A260521 A136873 * A178500 A178501 A011557 Adjacent sequences:  A135652 A135653 A135654 * A135656 A135657 A135658 KEYWORD base,nonn,fini,full,easy,less AUTHOR Omar E. Pol, Feb 23 2008, Mar 01 2008, Mar 03 2008 STATUS approved

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Last modified October 20 16:12 EDT 2019. Contains 328268 sequences. (Running on oeis4.)