This site is supported by donations to The OEIS Foundation.

100

From OeisWiki
Jump to: navigation, search


This article is under construction.            

Please do not rely on any information it contains.            


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.

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

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