| 900
< 899 | 901 > |
|||||||||
|---|---|---|---|---|---|---|---|---|---|
| Numbers 900 - 999 | |||||||||
| 900 | 901 | 902 | 903 | 904 | 905 | 906 | 907 | 908 | 909 |
| 910 | 911 | 912 | 913 | 914 | 915 | 916 | 917 | 918 | 919 |
| 920 | 921 | 922 | 923 | 924 | 925 | 926 | 927 | 928 | 929 |
| 930 | 931 | 932 | 933 | 934 | 935 | 936 | 937 | 938 | 939 |
| 940 | 941 | 942 | 943 | 944 | 945 | 946 | 947 | 948 | 949 |
| 950 | 951 | 952 | 953 | 954 | 955 | 956 | 957 | 958 | 959 |
| 960 | 961 | 962 | 963 | 964 | 965 | 966 | 967 | 968 | 969 |
| 970 | 971 | 972 | 973 | 974 | 975 | 976 | 977 | 978 | 979 |
| 980 | 981 | 982 | 983 | 984 | 985 | 986 | 987 | 988 | 989 |
| 990 | 991 | 992 | 993 | 994 | 995 | 996 | 997 | 998 | 999 |
900 is the largest number with multi-character undisputed Roman numeral which cannot be decomposed into two Roman numerals summing to it[note 1] when we use the system of Roman numerals with characters IVXLCDM, which expresses up to 3999.[1]
Nirvana Supermind calls this number zero-nonagenol, and is equal to Q<10,90> using quick array notation.[2]
Footnotes[]
- ↑ Proof: 900 is expressed as CM, which can be only divided into C (100) and M (1000), which do not sum up to 900. For numerals larger than 900, all multi-character Roman numerals can be decomposed to two Roman numerals summing to it, as follows. Let the integer x. Let k=100 for x<1000 and k=1000 for 1000≤x≤3999. Then there are integers a and b with x = ak + b, 0<a<10 and 0≤b<k. Let the Roman numerals to x, ak, b as (x), (ak), (b). When b>0, (x) is expressed as concatenation of (ak) and (b), and decomposed to (ak) and (b) which sum up to x. When b=0, x=1000, 2000 or 3000, and they do not meet the criteria because
- 1000 is expressed as M and it is not multi-character.
- 2000 is expressed as MM and can be decomposed to M + M.
- 3000 is expressed as MMM and can be decomposed to M + MM.
Sources[]
- ↑ Roman Numeral Converter accessed 2021-12-24
- ↑ Numbers from quick array notation - Integral View. Retrieved 2021-06-20.