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 |
2 | 27154 | 37353 | 2 |
3 | 25681 | 25232 | 13594 | 3 |
4 | 15650 | 22405 | 11504 | 14948 | 4 |
5 | 10641 | 18121 | 15829 | 9765 | 10151 | 5 |
6 | 11649 | 17825 | 8098 | 14032 | 7407 | 5496 | 6 |
7 | 12984 | 8924 | 8823 | 8779 | 8358 | 8753 | 7886 | 7 |
8 | 8602 | 15013 | 3077 | 6288 | 7048 | 7392 | 8427 | 8660 | 8 |
9 | 10202 | 7870 | 4544 | 9276 | 9225 | 3874 | 6203 | 8137 | 5176 | 9 |
10 | 0 | 13014 | 11531 | 5931 | 6682 | 10641 | 5107 | 4298 | 3834 | 3469 | 10 |
11 | 8666 | 5608 | 5550 | 5785 | 5585 | 5598 | 5462 | 5405 | 5717 | 5562 | 5569 |
A pictorial representation of the table above
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.