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Rhonda numbers
A number whose product of digits is equal to 10 times the sum of its prime factors. more

The first 600 Rhonda numbers :
1568, 2835, 4752, 5265, 5439, 5664, 5824, 5832, 8526, 12985, 15625, 15698, 19435, 25284, 25662, 33475, 34935, 35581, 45951, 47265, 47594, 52374, 53176, 53742, 54479, 55272, 56356, 56718, 95232, 118465, 133857, 148653, 154462, 161785, 172577, 178754, 185614, 194526, 196355, 224256, 226953, 232356, 242352, 245579, 254254, 254334, 254624, 256973, 259333, 272952, 285359, 295412, 315288, 316285, 334359, 339521, 342225, 365313, 392533, 415275, 456841, 457346, 512278, 513744, 516817, 518668, 521356, 531729, 534391, 547682, 562696, 563125, 625275, 643528, 668185, 671865, 681265, 733125, 733495, 749425, 754682, 765371, 826754, 844185, 859341, 885521, 954664, 1119657, 1142375, 1145896, 1186593, 1236775, 1292656, 1326265, 1351896, 1359462, 1365175, 1378658, 1387825, 1389513, 1416915, 1425382, 1425424, 1451892, 1454516, 1456611, 1511874, 1516455, 1527471, 1534392, 1543345, 1555224, 1556814, 1557532, 1569911, 1582778, 1583197, 1584117, 1644852, 1737527, 1741275, 1755325, 1775726, 1875592, 1914255, 1945182, 1945946, 2115764, 2128753, 2155167, 2156517, 2185561, 2217485, 2225158, 2253931, 2258999, 2355676, 2444525, 2452318, 2485323, 2517165, 2572844, 2578178, 2654334, 2659518, 2682456, 2721485, 2853729, 2918545, 2944513, 3114675, 3124875, 3126775, 3132853, 3255265, 3257232, 3271359, 3274158, 3328158, 3345166, 3366153, 3545742, 3574296, 3581182, 3643465, 3712365, 3715127, 3882568, 3942856, 3957163, 3969155, 4152336, 4161454, 4167745, 4194544, 4253665, 4312753, 4322295, 4351815, 4414815, 4525236, 4527182, 4591812, 4716541, 4768353, 5116384, 5139916, 5142552, 5151328, 5165671, 5179651, 5217963, 5228999, 5267176, 5288236, 5291514, 5323455, 5397437, 5454216, 5521971, 5523224, 5531169, 5613669, 5653955, 5674156, 5691511, 5711616, 5722165, 5826176, 5831252, 5868121, 5913822, 5929153, 5961544, 6116574, 6159386, 6236514, 6256832, 6325128, 6412952, 6452864, 6495266, 6513698, 6521792, 6544728, 6557371, 6557762, 6754321, 6771255, 6915395, 6925225, 6965416, 7115724, 7116252, 7255381, 7276155, 7314385, 7315398, 7335296, 7353514, 7355649, 7384653, 7388951, 7427554, 7614265, 7641517, 7784225, 7825233, 7911584, 7925872, 7931235, 7952317, 8116537, 8124573, 8161573, 8217185, 8241915, 8248158, 8411757, 8511529, 8514891, 8519579, 8519924, 8591121, 8631156, 8926562, 9111657, 9132435, 9158232, 9213385, 9214557, 9322158, 9327135, 9523575, 9541116, 9843255, 9892552, 11114895, 11155928, 11169865, 11175829, 11182752, 11225472, 11225871, 11363518, 11439156, 11528125, 11588461, 11593318, 11731265, 11741752, 11745245, 11755612, 11881745, 11927513, 11992582, 12191445, 12193568, 12234651, 12251169, 12284526, 12287853, 12343752, 12356127, 12367251, 12395844, 12412755, 12422655, 12425934, 12463561, 12472551, 12529342, 12535615, 12553456, 12555124, 12571279, 12615552, 12665157, 12757182, 12914135, 12962532, 13132592, 13142275, 13148135, 13148526, 13159832, 13215486, 13264515, 13311958, 13442557, 13518817, 13521354, 13522585, 13534136, 13536691, 13545145, 13614195, 13615741, 13635135, 13752279, 13795124, 13814235, 13828945, 13861581, 13953612, 13955725, 13985257, 14141754, 14156148, 14156316, 14215745, 14235294, 14248588, 14312544, 14367592, 14563326, 14631155, 14746583, 14811335, 14851342, 14854945, 15125299, 15148164, 15155721, 15163681, 15164148, 15183128, 15226496, 15261176, 15285772, 15317225, 15332628, 15342817, 15352513, 15421185, 15445144, 15461432, 15514735, 15533414, 15542641, 15548279, 15587712, 15648721, 15652164, 15681198, 15684222, 15685634, 15712963, 15811444, 15891441, 16119752, 16145437, 16258413, 16354254, 16384552, 16526334, 16544954, 16751821, 16791541, 16873583, 16945112, 17225156, 17312534, 17329851, 17342516, 17413585, 17451234, 17451616, 17521735, 17522791, 17528196, 17544114, 17758225, 18185414, 18315153, 18315817, 18322155, 18328513, 18454142, 18511416, 18552839, 19155192, 19324254, 19513542, 19795132, 21138165, 21169591, 21215684, 21219275, 21288135, 21437652, 21492548, 21567812, 21599275, 21643125, 21658176, 21685134, 21685288, 21727541, 21765342, 21775323, 21829115, 21839571, 21886158, 21914175, 21996175, 22126357, 22126455, 22151476, 22155837, 22175637, 22217195, 22218529, 22372155, 22416352, 22435172, 22446516, 22452326, 22465812, 22533582, 22537551, 22539231, 22543262, 22551924, 22565474, 22636875, 22815632, 22827588, 22942153, 22954682, 23254465, 23284215, 23428254, 23524665, 23546413, 23572591, 23757125, 23766145, 23965711, 24181854, 24253125, 24261853, 24312457, 24356848, 24359229, 24362569, 24423265, 24457345, 24547662, 24625614, 24749548, 25123981, 25134781, 25135741, 25139185, 25199342, 25219917, 25279259, 25294321, 25358427, 25411857, 25438792, 25441745, 25521355, 25546129, 25733693, 25741952, 25819437, 25945218, 26151188, 26152155, 26175541, 26213545, 26453622, 26458161, 26476521, 26581847, 26583266, 26692521, 26814561, 27247512, 27312385, 27555112, 27616512, 27756263, 28175283, 28365912, 28953246, 29176532, 29318562, 29485422, 29563416, 31151655, 31161735, 31254356, 31258332, 31315692, 31433365, 31453136, 31533381, 31549213, 31551454, 31556622, 31559865, 31572619, 31588684, 31613758, 31651176, 31651844, 31881135, 32124745, 32188528, 32255648, 32392815, 32532255, 32541243, 32575881, 32834265, 32871555, 33126156, 33153924, 33385345, 33447325, 33513125, 33522841, 33523334, 33635532, 33815312, 33824532, 34218265, 34219561, 34571552, 34593237, 35222665, 35223166, 35351225, 35595851, 35621652, 35742133, 35745145, 35916698, 36516258, 36825726, 37151232, 37212252, 37621125, 37843521, 37856115, 38252862, 38574123, 38645841, 39415621, 41135616, 41152728, 41191425, 41327451, 41537365, 41582177, 41731352, 41753185.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 64507 values, from 1568 to 999812659131).

n\r 0  1 
22715437353 2 
3256812523213594 3 
415650224051150414948 4 
5106411812115829976510151 5 
6116491782580981403274075496 6 
712984892488238779835887537886 7 
8860215013307762887048739284278660 8 
91020278704544927692253874620381375176 9 
100130141153159316682106415107429838343469 10 
1186665608555057855585559854625405571755625569

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.