A182623 Numbers n with property that there is a number m such that if we concatenate the binary representations of the divisors of m in increasing order we get the binary representation of n.

1, 6, 7, 13, 15, 27, 29, 49, 51, 52, 55, 61, 63, 101, 105, 107, 111, 117, 121, 123, 125, 195, 199, 201, 207, 211, 217, 222, 225, 229, 231, 235, 237, 241, 255, 387, 393, 395, 405, 407, 413, 419, 423, 429, 435, 437, 441, 447, 449, 453, 455, 467, 479, 483, 485, 489, 495, 497, 507, 769, 775, 781, 783, 789

Offset: 1

Author

Omar E. Pol, Nov 23 2010

Keywords

• nonn
• base

Comments

Numbers of A182622 in increasing order (without repetitions).

Examples

			858 written in base 2 is 1101011010. The string "1101011010" may be broken up into four parts (1, 10, 101, 1010) that are also the binary representations of a sequence of numbers in increasing order: 1, 2, 5, 10. These numbers are the divisors of 10. Then 858 is in the sequence.
		

Crossrefs

Cf. A007088, A027750, A182620, A182621, A182622, A182624.