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300

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300 is an integer. It is the largest possible score in bowling.

Membership in core sequences

Even numbers ..., 294, 296, 298, 300, 302, 304, 306, ... A005843
Composite numbers ..., 297, 298, 299, 300, 301, 302, 303, ... A002808
Triangular numbers ..., 231, 253, 276, 300, 325, 351, 378, ... A000217

Sequences pertaining to 300

Multiples of 300 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300, 3600, ...
Divisors of 300 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300 A018382
sequence starting at 1 1, 14, 7, 92, 46, 23, 300, 150, 75, 976, 488, 244, 122, 61, 794, 397, ... A008901

Partitions of 300

There are 9253082936723602 partitions of 300.

The Goldbach representations of 300 are 293 + 7 = 283 + 17 = 281 + 19 = 277 + 23 = 271 + 29 = 269 + 31 = 263 + 37 = 257 + 43 = 241 + 59 = 239 + 61 = 233 + 67 = 229 + 71 = 227 + 73 = 211 + 89 = 199 + 101 = 197 + 103 = 193 + 107 = 191 + 109 = 173 + 127 = 163 + 137 = 151 + 149 = 300.

Roots and powers of 300

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

TABLE GOES HERE

Values for number theoretic functions with 300 as an argument

TABLE GOES HERE

Factorization of 300 in some quadratic integer rings

As was mentioned above, 300 is the product of three primes, two of them squared, in . But in some quadratic integer rings, some of those primes are further reducible.

2^2 × 3 × 5^2
2^2 × 3 × 5^2 2^2 × 3 × 5^2
2 × 3 × 5
2^2 × 3 × 5^2</math>
2^2 × 3 × 5^2 2^2 × 3 × 5^2

Representation of 300 in various bases

Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Representation 100101100 102010 10230 2200 1220 606 454 363 300 253 210 1A1 176 150 12C 10B GC FF F0

See also

Some integers
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

References