(961, 1147, 1271, 1333, 1369, 1457, 1517, 1591, 1643, 1681, 1739, 1763, 1829, 1849, 1891, 1927, 1961, 2021, 2077, 2173, 2183, 2201, 2209, 2257, 2263, 2279, 2419, 2449, 2479, 2491, 2501, 2537, 2573, 2623, 2627, 2701, 2747, 2759, 2773, 2809, 2867, 2881, 2911, 2923, 2993, 3007, 3053, 3071, 3127, 3131, 3139, 3149, 3193, 3233, 3239, 3293, 3317, 3337, 3379, 3397, 3403, 3431, 3481, 3503, 3551, 3569, 3589, 3599, 3649, 3713, 3721, 3737, 3763, 3811, 3827, 3869, 3901, 3953, 3977, 4087, 4141, 4171, 4181, 4183, 4187, 4189, 4307, 4331, 4343, 4399, 4453, 4489, 4559, 4661, 4717, 4747, 4757, 4819, 4891, 4897, 5041, 5063, 5141, 5143, 5183, 5251, 5293, 5329, 5353, 5429, 5561, 5609, 5723, 5767, 5893, 5917, 5959, 5963, 6059, 6161, 6241, 6319, 6497, 6499, 6557, 6767, 6887, 6889, 7031, 7171, 7081, 7387, 7373, 7663, 7921, 7979, 8051, 8383, 8633, 8927, 8989, 9379, 9409, 9797, 9991, 10201, 10403, 10609, 11021, 11227, 11449, 11881, 19321) - 164 such numbers,
They all fall between the numbers 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137 & 139.
Not sure if you wanted "divisors" or "prime factors". Here are the lists of both and you decide which ones you want:
33 = (1, 3, 11, 33) > 4 (divisors)
34 = (1, 2, 17, 34) > 4 (divisors)
35 = (1, 5, 7, 35) > 4 (divisors)
38 = (1, 2, 19, 38) > 4 (divisors)
39 = (1, 3, 13, 39) > 4 (divisors)
46 = (1, 2, 23, 46) > 4 (divisors)
51 = (1, 3, 17, 51) > 4 (divisors)
55 = (1, 5, 11, 55) > 4 (divisors)
57 = (1, 3, 19, 57) > 4 (divisors)
58 = (1, 2, 29, 58) > 4 (divisors)
62 = (1, 2, 31, 62) > 4 (divisors)
65 = (1, 5, 13, 65) > 4 (divisors)
69 = (1, 3, 23, 69) > 4 (divisors)
74 = (1, 2, 37, 74) > 4 (divisors)
77 = (1, 7, 11, 77) > 4 (divisors)
82 = (1, 2, 41, 82) > 4 (divisors)
85 = (1, 5, 17, 85) > 4 (divisors)
86 = (1, 2, 43, 86) > 4 (divisors)
87 = (1, 3, 29, 87) > 4 (divisors)
91 = (1, 7, 13, 91) > 4 (divisors)
93 = (1, 3, 31, 93) > 4 (divisors)
94 = (1, 2, 47, 94) > 4 (divisors)
95 = (1, 5, 19, 95) > 4 (divisors)
106 = (1, 2, 53, 106) > 4 (divisors)
111 = (1, 3, 37, 111) > 4 (divisors)
115 = (1, 5, 23, 115) > 4 (divisors)
118 = (1, 2, 59, 118) > 4 (divisors)
119 = (1, 7, 17, 119) > 4 (divisors)
122 = (1, 2, 61, 122) > 4 (divisors)
123 = (1, 3, 41, 123) > 4 (divisors)
125 = (1, 5, 25, 125) > 4 (divisors)
129 = (1, 3, 43, 129) > 4 (divisors)
133 = (1, 7, 19, 133) > 4 (divisors)
134 = (1, 2, 67, 134) > 4 (divisors)
Total = 34 such integers
36 = 2 2 3 3 >4 (prime factors)
40 = 2 2 2 5 > .......................
54 = 2 3 3 3 > ........................
56 = 2 2 2 7 > ........................
60 = 2 2 3 5 > ........................
81 = 3 3 3 3 > ........................
84 = 2 2 3 7> .........................
88 = 2 2 2 11 > .......................
90 = 2 3 3 5 > .......................
100 = 2 2 5 5 > ......................
104 = 2 2 2 13 > .....................
126 = 2 3 3 7 > .......................
132 = 2 2 3 11 > .....................
135 = 3 3 3 5 > ......................
136 = 2 2 2 17 > .....................
140 = 2 2 5 7 > .......................
Total ==16 such integers.