Mix Max Nutty Bag: July 2015

Wednesday, July 29, 2015

the number-2 raised to higher powers

Power	Value
0	1 1
1	2 2
2	4 4
3	8 8
4	16 6
5	32 2 5/4 remainder 1
6	64 4
7	128 8
8	256 6
9	512 2 9/4 remainder1 12
10	1,024 4 10/4 remainder 2
11	2,048 8 11/4 remainder 3
12	4,096 6 12/4 remainder 0
13	8,192 2 92
14	16,384 4
15	32,768 8
16	65,536 6
17	131,072 2 72
18	262,144
19	524,288
20	1,048,576
21	2,097,152 52
22	4,194,304
23	8,388,608
24	16,777,216
25	33,554,432 32
26	67,108,864
27	134,217,728
28	268,435,456
29	536,870,912 12
30	1,073,741,824
31	2,147,483,648
32	4,294,967,296
33	8,589,934,592 92
34	17,179,869,184
35	34,359,738,368
36	68,719,476,736
37	137,438,953,472 72
38	274,877,906,944
39	549,755,813,888
40	1,099,511,627,776
41	2,199,023,255,552 52
42	4,398,046,511,104
43	8,796,093,022,208
44	17,592,186,044,416
45	35,184,372,088,832 32
46	70,368,744,177,664
47	140,737,488,355,328
48	281,474,976,710,656
49	562,949,953,421,312 12
50	1,125,899,906,842,624
51	2,251,799,813,685,248
52	4,503,599,627,370,496
53	9,007,199,254,740,992 92
54	18,014,398,509,481,984
55	36,028,797,018,963,968
56	72,057,594,037,927,936
57	144,115,188,075,855,872
58	288,230,376,151,711,744
59	576,460,752,303,432,488
60	1,152,921,504,606,846,976
61	2,305,843,009,213,693,952
62	4,611,686,018,427,387,904
63	9,223,372,036,854,775,808
64	18,446,744,073,709,551,616
65	36,893,488,147,419,103,232
66	73,786,976,294,838,206,464
67	147,573,952,589,676,412,928
68	295,147,905,179,352,825,856
69	590,295,810,358,705,651,712
70	1,180,591,620,717,411,303,424
71	2,361,183,241,434,822,606,848
72	4,722,366,482,869,645,213,696
73	9,444,732,965,739,290,427,392 92
74	18,889,465,931,478,580,854,784
75	37,778,931,862,957,161,709,568
76	75,557,863,725,914,323,419,136
77	151,115,727,451,828,646,838,272
78	302,231,454,903,657,293,676,544
79	604,462,909,807,314,587,353,088
80	1,208,925,819,614,629,174,706,176
81	2,417,851,639,229,258,349,412,352
82	4,835,703,278,458,516,698,824,704
83	9,671,406,556,917,033,397,649,408
84	19,342,813,113,834,066,795,298,816
85	38,685,626,227,668,133,590,597,632
86	77,371,252,455,336,267,181,195,264
87	154,742,504,910,672,534,362,390,528
88	309,485,009,821,345,068,724,781,056
89	618,970,019,642,690,137,449,562,112
90	1,237,940,039,285,380,274,899,124,224
91	2,475,880,078,570,760,549,798,248,448
92	4,951,760,157,141,521,099,596,496,896
93	9,903,520,314,283,042,199,192,993,792 92
94	19,807,040,628,566,084,398,385,987,584
95	39,614,081,257,132,168,796,771,975,168
96	79,228,162,514,264,337,593,543,950,336
97	158,456,325,028,528,675,187,087,900,672
98	316,912,650,057,057,350,374,175,801,344
99	633,825,300,114,114,700,748,351,602,688
100	1,267,650,600,228,229,401,496,703,205,376

//////////////////////////////////////////
Divide the power by 4 if the remainder

1   then the first decimal is   2

2   then the first decimal is   4

3 then the first decimal is    8

0 then the first decimal is    6

the first number repeats as 2,4,8,6,2, 4,8,6,...

///////////////////
92      power   13,   33,   53,   73, 93, ... appears every 20 power

72       power   17,   37,   57,   77, ... appears every 20 power

52       power   21,   41,   61,   81, ... appears every 20 power
32     power   5,   25,    45,   65, 85, ... appears every 20 power
12     power   9,   29,    49,    69,   89, ... appears every 20 power

/////////////////////////////////////////////// ending with 24
10   xx24
30   xx24
50 xx24
70   xx24
90 xx24

///////////////////

first appearance of 3 is at 2**5

46 64

66 64
////////////////////////////////

64 4

10	1,024 4 10/4 remainder 2

30	1,073,741,824

50	1,125,899,906,842,624

262,144

4,194,304

///////////////////////////////
04, 64, 24, 84, 44, 04, 64, 24, 84, 44

the first number repeats every 4 powers
the first two numbers repeat every 20 powers