2 × 32 × 7 × 31
1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953 and 3906
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.