This site is supported by donations to The OEIS Foundation.
225
From OeisWiki
225 is the square of 15. It is only the second number to be both square and octagonal, the first is 1 (see A036428)
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 225
- 3 Partitions of 225
- 4 Roots and powers of 225
- 5 Logarithms and 225th powers
- 6 Values for number theoretic functions with 225 as an argument
- 7 Factorization of 225 in some quadratic integer rings
- 8 Representation of 225 in various bases
- 9 See also
- 10 References
Membership in core sequences
Odd numbers | ..., 219, 221, 223, 225, 227, 229, 231, ... | A005408 |
Composite numbers | ..., 221, 222, 224, 225, 226, 228, 230, ... | A002808 |
Perfect squares | ..., 144, 169, 196, 225, 256, 289, 324, ... | A000290 |
Sequences pertaining to 225
Multiples of 225 | 225, 450, 675, 900, 1125, 1350, 1575, 1800, 2025, 2250, 2475, 2700, ... | |
Divisors of 225 | 1, 3, 5, 9, 15, 25, 45, 75, 225 | A018342 |
Partitions of 225
There are X partitions of 225.
Roots and powers of 225
In the table below, irrational numbers are given truncated to eight decimal places.
TABLE GOES HERE
Logarithms and 225th 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
Values for number theoretic functions with 225 as an argument
TABLE GOES HERE
Factorization of 225 in some quadratic integer rings
As was mentioned above, 225 is the product of 3 2 and 5 2. But it has different factorizations in some quadratic integer rings.
TABLE GOES HERE
Representation of 225 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 11100001 | 22100 | 3201 | 1400 | 1013 | 441 | 341 | 270 | 225 | 195 | 169 | 144 | 121 | 100 | E1 | D4 | C9 | BG | B5 |
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 |