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Oh, what a lovely question! Let's create a happy little list of whole numbers between 7594 and 7605. We have 7595, 7596, 7597, 7598, 7599, 7600, 7601, 7602, 7603, 7604. Each number is special and adds its own unique touch to our list. Just like each brushstroke adds beauty to a painting.
0.0072
507
117 as a product of primes is 3 times 3 times 13. 65 is 5 times 13. Both will divide every number that is a product of 3 times 3 times 5 times 13 and any other integer, i.e., every product of 585, including 585, 1170, 1755, etc. Of course this includes 65 times 117 or 7605. The smallest number that both divide is 585.
There are a great number of them (450 in fact). All multiples of the lowest common multiple of 3 and 5 (which is 15) which are not multiples of the lcm of 3, 4 and 5 (which is 60) will solve the problem, thus any of the four digit numbers, namely: 1005, 1035, 1050, 1065, 1095, 1110, 1125, 1155, 1170, 1185, 1215, 1230, 1245, 1275, 1290, 1305, 1335, 1350, 1365, 1395, 1410, 1425, 1455, 1470, 1485, 1515, 1530, 1545, 1575, 1590, 1605, 1635, 1650, 1665, 1695, 1710, 1725, 1755, 1770, 1785, 1815, 1830, 1845, 1875, 1890, 1905, 1935, 1950, 1965, 1995, 2010, 2025, 2055, 2070, 2085, 2115, 2130, 2145, 2175, 2190, 2205, 2235, 2250, 2265, 2295, 2310, 2325, 2355, 2370, 2385, 2415, 2430, 2445, 2475, 2490, 2505, 2535, 2550, 2565, 2595, 2610, 2625, 2655, 2670, 2685, 2715, 2730, 2745, 2775, 2790, 2805, 2835, 2850, 2865, 2895, 2910, 2925, 2955, 2970, 2985, 3015, 3030, 3045, 3075, 3090, 3105, 3135, 3150, 3165, 3195, 3210, 3225, 3255, 3270, 3285, 3315, 3330, 3345, 3375, 3390, 3405, 3435, 3450, 3465, 3495, 3510, 3525, 3555, 3570, 3585, 3615, 3630, 3645, 3675, 3690, 3705, 3735, 3750, 3765, 3795, 3810, 3825, 3855, 3870, 3885, 3915, 3930, 3945, 3975, 3990, 4005, 4035, 4050, 4065, 4095, 4110, 4125, 4155, 4170, 4185, 4215, 4230, 4245, 4275, 4290, 4305, 4335, 4350, 4365, 4395, 4410, 4425, 4455, 4470, 4485, 4515, 4530, 4545, 4575, 4590, 4605, 4635, 4650, 4665, 4695, 4710, 4725, 4755, 4770, 4785, 4815, 4830, 4845, 4875, 4890, 4905, 4935, 4950, 4965, 4995, 5010, 5025, 5055, 5070, 5085, 5115, 5130, 5145, 5175, 5190, 5205, 5235, 5250, 5265, 5295, 5310, 5325, 5355, 5370, 5385, 5415, 5430, 5445, 5475, 5490, 5505, 5535, 5550, 5565, 5595, 5610, 5625, 5655, 5670, 5685, 5715, 5730, 5745, 5775, 5790, 5805, 5835, 5850, 5865, 5895, 5910, 5925, 5955, 5970, 5985, 6015, 6030, 6045, 6075, 6090, 6105, 6135, 6150, 6165, 6195, 6210, 6225, 6255, 6270, 6285, 6315, 6330, 6345, 6375, 6390, 6405, 6435, 6450, 6465, 6495, 6510, 6525, 6555, 6570, 6585, 6615, 6630, 6645, 6675, 6690, 6705, 6735, 6750, 6765, 6795, 6810, 6825, 6855, 6870, 6885, 6915, 6930, 6945, 6975, 6990, 7005, 7035, 7050, 7065, 7095, 7110, 7125, 7155, 7170, 7185, 7215, 7230, 7245, 7275, 7290, 7305, 7335, 7350, 7365, 7395, 7410, 7425, 7455, 7470, 7485, 7515, 7530, 7545, 7575, 7590, 7605, 7635, 7650, 7665, 7695, 7710, 7725, 7755, 7770, 7785, 7815, 7830, 7845, 7875, 7890, 7905, 7935, 7950, 7965, 7995, 8010, 8025, 8055, 8070, 8085, 8115, 8130, 8145, 8175, 8190, 8205, 8235, 8250, 8265, 8295, 8310, 8325, 8355, 8370, 8385, 8415, 8430, 8445, 8475, 8490, 8505, 8535, 8550, 8565, 8595, 8610, 8625, 8655, 8670, 8685, 8715, 8730, 8745, 8775, 8790, 8805, 8835, 8850, 8865, 8895, 8910, 8925, 8955, 8970, 8985, 9015, 9030, 9045, 9075, 9090, 9105, 9135, 9150, 9165, 9195, 9210, 9225, 9255, 9270, 9285, 9315, 9330, 9345, 9375, 9390, 9405, 9435, 9450, 9465, 9495, 9510, 9525, 9555, 9570, 9585, 9615, 9630, 9645, 9675, 9690, 9705, 9735, 9750, 9765, 9795, 9810, 9825, 9855, 9870, 9885, 9915, 9930, 9945, 9975, 9990 take your pick.