3 × 7 × 11 × 151 × 887
1, 3, 7, 11, 21, 33, 77, 151, 231, 453, 887, 1057, 1661, 2661, 3171, 4983, 6209, 9757, 11627, 18627, 29271, 34881, 68299, 133937, 204897, 401811, 937559, 1473307, 2812677, 4419921, 10313149 and 30939447
No.
Its nearest Fibonacci number neighbors are 24157817 and 39088169.