196

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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.

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, ...
$3x+1$ 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.

${\sqrt {196}}$	14.00000000		1962	38416
${\sqrt[{3}]{196}}$	5.80878573		1963	7529536
${\sqrt[{4}]{196}}$	3.74165738	A010471	1964	1475789056
${\sqrt[{5}]{196}}$	2.87376475		1965	289254654976
${\sqrt[{6}]{196}}$	2.41014226	A010586	1966	56693912375296
${\sqrt[{7}]{196}}$	2.12551979		1967	11112006825558016
${\sqrt[{8}]{196}}$	1.93433642	A011011	1968	2177953337809371136
${\sqrt[{9}]{196}}$	1.79760852		1969	426878854210636742656
${\sqrt[{10}]{196}}$	1.69521820	A011099	19610	83668255425284801560576

Logarithms and 196th powers

In the OEIS specifically and mathematics in general, $\log x$ refers to the natural logarithm of $x$, 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

Some integers

							$-1$
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