Ergo, you memorized the exact sequence, or you stopped the person long enough to scribe the code but forgot to ask the donner its significance.
2771 17 8
12172 13 4
6835 22 4
3041 8 8
00101011010011 7
10111110001100 8
01101010110011 8
00101111100001 7
XX X X X XXX
X XXX XXX
X X X X XX
XX X XXXX
^^^I see a cat!
2771: 2771 Polzunov (1978 SP7) is a main-belt asteroid discovered on September 26, 1978 by L. Zhuravleva at Nauchnyj.
12172: 12172 Niekdekort (provisional designation: 2390 T-3) is a main-belt minor planet. It was discovered by Cornelis Johannes van Houten, Ingrid van Houten-Groeneveld, and Tom Gehrels at the Palomar Observatory in San Diego County, California, on October 16, 1977. It is named after Niek De Kort, an astronomy author and enthusiast.
6835: 6835 Molfino (1994 HT1) is a main-belt asteroid discovered on April 30, 1994 by A. Vagnozzi at Stroncone.
3041: 3041 Webb (1980 GD) is a main-belt asteroid discovered on April 15, 1980 by E. Bowell at Flagstaff (AM).