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100
100 is the square of 10, and the smallest square that is the sum of four consecutive cubes: 1 3 + 2 3 + 3 3 + 4 3 = 100.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 64
- 3 Partitions of 100
- 4 Roots and powers of 100
- 5 Logarithms and 100th powers
- 6 Values for number theoretic functions with 100 as an argument
- 7 Factorization of 100 in some quadratic integer rings
- 8 Representation of 100 in various bases
- 9 References
- 10 See also
Membership in core sequences
Even numbers | ..., 94, 96, 98, 100, 102, 104, 106, ... | A005843 |
Composite numbers | ..., 96, 98, 99, 100, 102, 104, 105, ... | A002808 |
Perfect squares | ..., 49, 64, 81, 100, 121, 144, 169, ... | A000290 |
Abundant numbers | ..., 88, 90, 96, 100, 102, 104, 108, ... | A005101 |
Loeschian numbers | ..., 91, 93, 97, 100, 103, 108, 109, ... | A003136 |
In Pascal's triangle, 100 occurs only twice, namely in row 64, in the second and next to last positions. But it also appears in a subtler way, as the sum of the numbers in row 6: 1 + 6 15 + 20 + 15 + 6 + 1 = 64.
Sequences pertaining to 64
Multiples of 100 | 0, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, ... | |
sequence beginning at 100 | 100, 50, 25, 74, 37, 110, 55, 164, 82, 41, 122, 61, 182, 91, 272, 136, ... | A008903 |
sequence beginning at 33 | 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, ... | A008880 |
Partitions of 100
There are X partitions of 100. [FINISH WRITING]
Roots and powers of 100
In the table below, irrational numbers are given truncated to eight decimal places.
TABLE GOES HERE
Logarithms and 100th 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 100 as an argument
TABLE GOES HERE
Factorization of 100 in some quadratic integer rings
REMARKS
TABLE GOES HERE
Representation of 100 in various bases
TABLE GOES HERE
References
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 |