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196
This article is under construction.
Please do not rely on any information it contains.
196 is the square of 14, and the smallest number not known for sure to lead to a palindrome in the reverse and add process in base 10.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 196
- 3 Partitions of 196
- 4 Roots and powers of 196
- 5 Logarithms and 196th powers
- 6 Values for number theoretic functions with 196 as an argument
- 7 Factorization of some small integers in a quadratic integer ring with discriminant −196, 196
- 8 Factorization of 14 in some quadratic integer rings
- 9 Representation of 196 in various bases
- 10 See also
- 11 References
Membership in core sequences
Even numbers | ..., 190, 192, 194, 196, 198, 200, 202, ... | A005843 |
Composite numbers | ..., 192, 194, 195, 196, 198, 200, 201, ... | A002808 |
Perfect squares | ..., 121, 144, 169, 196, 225, 256, 289, ... | A000290 |
Sequences pertaining to 196
Multiples of 196 | 196, 392, 588, 784, 980, 1176, 1372, 1568, 1764, 1960, ... | |
196-gonal numbers | 1, 14, 39, 76, 125, 186, 259, 344, 441, 550, 671, 804, ... | |
sequence starting at 57 | 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, ... | A008877 |
Reverse and Add! sequence starting with 196 | 196, 887, 1675, 7436, 13783, 52514, 94039, 187088, ... | A006960 |
Partitions of 196
There are 135 partitions of 14.
Roots and powers of 196
In the table below, irrational numbers are given truncated to eight decimal places.
14.00000000 | 196^{2} | 38416 | ||
5.80878573 | 196^{3} | 7529536 | ||
3.74165738 | A010471 | 196^{4} | 1475789056 | |
2.87376475 | 196^{5} | 289254654976 | ||
2.41014226 | A010586 | 196^{6} | 56693912375296 | |
2.12551979 | 196^{7} | 11112006825558016 | ||
1.93433642 | A011011 | 196^{8} | 2177953337809371136 | |
1.79760852 | 196^{9} | 426878854210636742656 | ||
1.69521820 | A011099 | 196^{10} | 83668255425284801560576 | |
Logarithms and 196th powers
In the OEIS specifically and mathematics in general, refers to the natural logarithm of , whereas all other bases are specified with a subscript.
As above, irrational numbers in the following table are truncated to eight decimal places.
TABLE GOES HERE
(See A010802 for the fourteenth powers of integers).
Values for number theoretic functions with 196 as an argument
TABLE GOES HERE
Factorization of some small integers in a quadratic integer ring with discriminant −196, 196
Since 196 is a perfect square, the of the [FINISH WRITING]
Factorization of 14 in some quadratic integer rings
REMARKS GO HERE
TABLE GOES HERE
Representation of 196 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 11000100 | 21021 | 3010 | 1241 | 524 | 400 | 304 | 237 | 196 | 169 | 144 | 121 | 100 | D1 | C4 | B9 | AG | A6 | 9G |
See also
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
1729 |