23 × 13 × 211 × 421
1, 2, 4, 8, 13, 26, 52, 104, 211, 421, 422, 842, 844, 1684, 1688, 2743, 3368, 5473, 5486, 10946, 10972, 21892, 21944, 43784, 88831, 177662, 355324, 710648, 1154803, 2309606, 4619212 and 9238424
No.
Its nearest Fibonacci number neighbors are 9227465 and 14930352.