27727 is a member of OEIS A344344: starts of runs of FOUR consecutive Gray-code Niven numbers (A344341). The Gray Codes are as follows:

27727 --> 101101001101000 with digit sum of 7

27728 --> 101101001111000 with digit sum of 8

27729 --> 101101001111001 with digit sum of 9

27730 --> 101101001111011 with digit sum of 10

The factorisations of the numbers are as follows:

27727 = 7 * 17 * 233 divisible by 7

27728 = 2^4 * 1733 divisible by 8

27729 = 3^3 * 13 * 79 divisible by 9

27730 = 2 * 5 * 47 * 59 divisible by 10

The initial members of the sequence are:

1, 6, 30, 126, 510, 543, 783, 903, 2046, 2093, 3773, 3903, 7133, 7743, 8190, 8223, 8703, 10087, 12303, 12543, 14343, 14463, 15423, 15903, 16143, 16263, 20167, 22687, 27727, 30247, 30653, 30783, 32766, 35629, 40327, 47509, 47887, 49133, 50407, 57533, 60071, 60487

27727 is a sphenic, cyclic and Duffinian number.

27727 is a nialpdrome (and zygodrome) in base 6 : 332211.

27727 is a xenodrome in base 7 : 143560.

27727 cannot be rendered as a digit equation: *NO_EQUATION*