This has become a page of info that is not really of any value, but may be interesting just for itself. Or it may not... ;-)
If you begin figuring all of the palindromes that exist, the 196th palindrome is 9779.
196 is evenly divisible by the following numbers: 2, 4, 7, 14, 28, 49 and 98.
- The square root of 196 is 14.
- The cube root is 5.808785734
- The SIN of 196 is -0.275637356
- The COS of 196 is -0.961261696
- The TAN of 196 is 0.286745386
- The area of a circle with a radius of 196 units is 120,687.42 units.
- The area of a square with a length of 196 units is 38,419 units.
- The volume of a cube with a length of 196 units is 7,529,536 units, and the surface area would be 230,496 units.
- The volume of a sphere with a radius of 196 units is 31,539,646.64 units and the surface area would be 482,749.70 units.
- The factorial of 196 contains 366 digits. The answer is:
508,012,211,086,704,676,250,273,578,534,744,855,832,729,752,494,702,698,292,997,143,104,359,
057,480,013,603,705,540,137,242,115,195,719,262,628,671,043,031,667,501,252,088,161,309,228,
461,647,972,823,682,280,495,348,903,461,291,560,889,483,687,823,263,915,860,291,345,617,137,
392,657,194,686,983,749,887,501,702,176,113,098,676,677,779,711,031,060,019,608,283,576,803,
094,698,692,188,285,748,113,739,606,947,612,227,692,134,400,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000
*********************************************************************************************************
While doing something entirely different, I got to thinking about the amount of number combinations that must be included within a 22,000,000 digit number. I may not have the ability to write a program of any serious functionality, but I can use a program called LabView, to write small apps to do various things, so I wrote one out, and began searching for various strings within the data file for 196 at 22,000,000 digits. (I was bored...)
I would love to do this on a palindromic solution, but I'll have to wait to find one before I can search that!! So I did it with this data file.....
I can't figure out a good format to put the information into, so I just kind of listed it out. It makes for a long page, that's boring to look at, but I think there is some neat information found in here.
I was thinking about it, if 196 never solves out, and you continued the iterations infinitely, then every number would eventually show up in the data set. By the same token, if you converted the letters to numbers, everything ever written, could be found in the data set... Man... That hurts my head!!
Within the 22,000,000 digit solution for 196, are the following strings:
Between 0 and 500,000 there are only 28 numbers not found 107,434 is the first one.
196 is in there several hundred times. (I quit counting around 200 and was a long way from the end of the list.)
1234567 is in there one time.
987654 is there 8 times.
654321 4 times.
314159 (pi's first and 5 decimals) is there 18 times, but the 6th decimal is not there.
XXXXXX My home phone number is there 3 times. (With no US area code.)
XXXXXX My cell phone
number is there once. (With no US area code.)
11-12-01 The date 22,000,000 solved out, is in there 16 times. But if I add 9:33 (the time), it's not.
If I convert the letters of WADE to numbers, (a=1, b=2, c=3 etc) 23-1-4-5, is
in there 146 times. But VanLandingham, Istvan, Bozsik, Jason, Doucette, Walker or palindrome do not show up. I used the English letters for obvious reasons. Istvan, I wouldn't even know how to begin to do it in Hungarian! :-)
1111111
(7 one's) 1x
22222222 (8 two's) 1x
33333333 (8 three's) 3x
4444444 (7 four's) 8x
5555555 (7 five's) 7x
6666666 (7 six's) 5x
7777777 (7 seven's) 1x
88888888 (8 eight's) 1x
99999999 (8 nine's) 3x
00000000
(8 zero's) 2x
1212121 is there 1 time.
22223333 is there once.
88889999 shows up twice.
In the other data sets:
62 Million holds the highest decimal places for pi, with 9, at 3.141592653.
43, 46, 48, 50, 54 and 60 Million all contain 12,345,678.
79 Million has 123,456,789 within it.
9, 18, 25, 43, 46, 48, 56, 74, 76, 77, 79, 80 and 84
Million all have 98,765,432 in them.
82 Million has 987,654,321 within it.
Many of the files have strings of 10 consecutive same digits. (ie 10 nines or zeros in a row.) But:
The 52 Million file is the first to have a string of 11 consecutive numbers. They are fives.
The 54 Million file has a string of 11
consecutive nines.
The 59 Million file has a string of 11 consecutive fours.
The 79 Million file has 12 consecutive zeros.
The 57 Million file has a string of 12 consecutive nines and 12 consecutive zeros.
The 44 and 46 Million files have the distinction of being the only ones that don't contain any string of 9 or more consecutive numbers. (Does that make sense?!?!)
Every data set between 1 and 125 has the numerical equivalent of "Wade". :-)
27 Million holds the record for having the highest missing first number: 1,000,021. Every number below that is in there. (I'm curious about some of these, since they are so much higher than the others, as you can see below, but I trust the program is correct.)
The first numbers that are missing from each data set are as follows:
| Data Set | Lowest Missing Number | Second Missing Number |
| 1 | 10,741 | 10,782 |
| 2 | 100,019 | 100,096 |
| 3 | 100,031 | 100,094 |
| 4 | 100,291 | 100,436 |
| 5 | 100,307 | 100,315 |
| 6 | 100,803 | 101,890 |
| 7 | 101,529 | 102,438 |
| 8 | 101,186 | 101,275 |
| 9 | 100,982 | 101,323 |
| 10 | 100,821 | 100,987 |
| 11 | 101,076 | 101,258 |
| 12 | 142,701 | 148,401 |
| 13 | 101,094 | 101,364 |
| 14 | 103,235 | 103,432 |
| 15 | 202,374 | 225,913 |
| 16 | 101,096 | 109,885 |
| 17 | 109,667 | 110,561 |
| 18 | 1,000,005 | 1,000,009 |
| 19 | 381,275 | 1,000,208 |
| 20 | 131,508 | 1,000,334 |
| 21 | 109,805 | 176,252 |
| 22 | 107,434 | 109,636 |
| 23 | 109,843 | 125,636 |
| 24 | 1,000,003 | 1,000,018 |
| 25 | 1,000,010 | 1,000,028 |
| 26 | 214,323 | 232,109 |
| 27 | 1,000,021 | 1,000,041 |
| 28 | 438,943 | 503,456 |
| 29 | 180,763 | 256,987 |
| 30 | 388,707 | 640,768 |
What other numbers would be interesting to find? I'll let you know if I think of any...