200

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200 is an integer.

Membership in core sequences

Even numbers	..., 194, 196, 198, 200, 202, 204, 206, ...	A005843
Composite numbers	..., 195, 196, 198, 200, 201, 202, 203, ...	A002808

Sequences pertaining to 200

Multiples of 200	200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, ...
Divisors of 200	1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200	A018332
$3x-1$ sequence starting at 90	90, 45, 134, 67, 200, 100, 50, 25, 74, 37, 110, 55, 164, ...	A008901

Partitions of 200

There are 3972999029388 partitions of 200.

The Goldbach representations of 200 are 197 + 3 = 193 + 7 = 181 + 19 = 163 + 37 = 157 + 43 = 139 + 61 = 127 + 73 = 103 + 97 = 200.

Roots and powers of 200

In the table below, irrational numbers are given truncated to eight decimal places.

TABLE GOES HERE

Values for number theoretic functions with 200 as an argument

TABLE GOES HERE

Factorization of 200 in some quadratic integer rings

REMARKS GO HERE

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Representation of 200 in various bases

Base	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
Representation	11001000	21102	3020	1300	532	404	310	242	200	172	148	125	104	D5	C8	B2	BD	AA	A0

It is often possible to change the base 10 representation of a composite number into the representation of a prime by changing a single digit. For example, given 3 2 × 13 = 117, we can turn 117 into the prime 113 by changing the least significant digit, or the primes 107, 127, 137, 157, 167, 197 by changing the middle digit, or the primes 317, 617 by changing the most significant digit (or 17 by discarding that digit).

That's not possible for 200 (nor for any of the other numbers listed in A078492). Since the previous prime is 199 and the next prime is 211, only changing the least signficant digit of 200 is sure to give another composite number. Changing either of the other two digits gives a multiple of 10, which is of course composite.

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