Roman Numeral: worked example
| Whole number (1 to 3,999) | 2,026 |
|---|---|
| Roman numeral | MMXXVI |
| Roman numeral for the next number | MMXXVII |
Roman Numeral: formula
Enter an integer from 1 through 3,999 for this converter’s conventional I–M notation. The symbol values are I=1, V=5, X=10, L=50, C=100, D=500 and M=1,000. The supported subtractive pairs are IV, IX, XL, XC, CD and CM.
Roman Numeral: changing Whole number (1 to 3,999)
| Whole number (1 to 3,999) | Roman numeral | Roman numeral for the next number |
|---|---|---|
| 1,621 | MDCXXI | MDCXXII |
| 1,823 | MDCCCXXIII | MDCCCXXIV |
| 2,026 (example) | MMXXVI | MMXXVII |
| 2,229 | MMCCXXIX | MMCCXXX |
| 2,431 | MMCDXXXI | MMCDXXXII |
Roman Numeral: individual input comparisons
| Input | Value | Roman numeral | Roman numeral for the next number |
|---|---|---|---|
| Whole number (1 to 3,999) | 1,621 | MDCXXI | MDCXXII |
| 1,823 | MDCCCXXIII | MDCCCXXIV | |
| 2,026 | MMXXVI | MMXXVII | |
| 2,229 | MMCCXXIX | MMCCXXX | |
| 2,431 | MMCDXXXI | MMCDXXXII |
Roman Numeral: values and definitions
| Quantity and definition | Value used |
|---|---|
| Whole number (1 to 3,999) — Roman numerals have no zero and standard notation stops at 3,999. | 2,026 |
| Roman numeral | MMXXVI |
| Roman numeral for the next number | MMXXVII |
Common error: Writing four of the same symbol in a row. Standard numerals use IV for 4 and XL for 40 instead of IIII and XXXX, though clocks sometimes use IIII on purpose.
The tool’s 3,999 ceiling is an implementation limit for this notation, not a historical maximum. Overbars and other extensions can express larger values; those conventions and clock-face IIII are outside this conversion. Zero and negative values have no output in the supported form.
Read a conventional numeral in its component groups
The conventional form of 1994 is MCMXCIV: M contributes 1,000, CM contributes 900, XC contributes 90 and IV contributes four. Adding those groups gives 1994. At the supported upper endpoint, 3,999 becomes MMMCMXCIX.
The supported notation uses IV for four and XL for forty rather than four repetitions of I or X. XIV represents ten plus four; IXX is not a canonical form in this converter. There is no zero entry in the supported positive-integer notation.
A different historical or decorative convention does not change the input rules implemented here.
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Roman numerals add symbols and subtract where a small one stands before a larger one, so 4 is IV and 9 is IX. The same rule builds 40, 90, 400 and 900. This year is MMXXVI: two thousands, two tens and a six.
Standard notation stops at 3,999 because it has no symbol above M, and it has no zero, which is why the page starts at 1. A few worked cases: 1994 is MCMXCIV, made of M for 1,000, CM for 900, XC for 90 and IV for 4, and 3,999 is MMMCMXCIX, the largest standard numeral. Roman numerals still mark clocks, book chapters, movie sequels and the year on some buildings.
The symbols grew out of tally marks and hand signs, with V for a hand and X for two hands joined. Sports finals and film sequels still use them, and the rule of never repeating a symbol more than three times in a row keeps the numerals short.
Read the result from left to right and add, then subtract any smaller symbol placed ahead of a larger one. XIV is 10 plus 4, and IXX is not a valid numeral.
See the number base converter for computer numeral systems, the prime and Fibonacci calculators for number patterns, and the date and age calculators for years in dates. The modulo page shows how repeating cycles work. The scientific notation page handles very large numbers.
How do I read a Roman numeral?
Add the values of the symbols from left to right, but subtract a symbol that comes right before a larger one, so IV is 4 and XC is 90.
Why is there no zero in Roman numerals?
Conventional Roman notation has no place-value zero symbol. This converter represents positive integers with the selected Roman symbols; enter zero and it cannot produce a numeral in that supported convention. That is a notation limit rather than a missing decimal digit.
What is the largest standard Roman numeral?
3,999, written MMMCMXCIX. Larger numbers use an overline to multiply by a thousand, which is not standard in everyday use.