2421
- Convert
- Number to Roman
- Number
- 2421
- Result
- MMCDXXI
- Value
- 2,421
Checked against: Wikipedia — Roman numerals, standard-form examples (2421 = MMCDXXI)
Convert numbers to Roman numerals and Roman numerals to numbers, from 1 to 3,999 (3,999,999 with overlines), with the standard form of any numeral.
By AdminDrafted with AI writing toolsUpdated Checked examples: 8
2,026 is MMXXVI: MM = 2,000, XX = 20, VI = 6.
4s and 9s use subtraction: IV, IX, XL, XC, CD, CM.
Roman numerals write numbers with seven letters: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500 and M = 1000. To convert a number, the converter splits it into thousands, hundreds, tens and ones and writes each place separately; a 4 or 9 puts a smaller letter before a larger one, so 40 is XL and 900 is CM. To read a numeral, it adds the letters from left to right and subtracts any letter that stands before a larger one.
The default, 2026, splits into 2000 + 20 + 6 and becomes MMXXVI. The usual uses are years on buildings and in film credits, clock faces, chapter numbers and outlines. Reading MCMXCIV gives 1000 + 900 + 90 + 4 = 1994.
Standard numerals stop at 3999 (MMMCMXCIX). With the overline option a bar multiplies letters by 1000, so V̅ = 5000, up to 3,999,999. Non-standard numerals such as IIII or IC are still read, and the standard spelling is shown next to the value.
Split the number into thousands, hundreds, tens and ones, and write each part in Roman letters: 2026 = 2000 + 20 + 6 = MM + XX + VI = MMXXVI. To read a numeral, add the letter values, subtracting any letter that stands before a larger one: MCMXCIV = 1000 + 900 + 90 + 4 = 1994.
Seven letters supply every value. The system has no zero and no place-value digits, so a numeral is a sum of letter values.
| Letter | Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1000 |
Standard form writes values from largest to smallest and adds them: XVI = 10 + 5 + 1 = 16. Six pairs subtract instead: IV = 4, IX = 9, XL = 40, XC = 90, CD = 400 and CM = 900.
I, X, C and M repeat at most three times in a row, and V, L and D never repeat. That is why 4 is IV, not IIII, and why the largest standard numeral is 3999, MMMCMXCIX.
Convert one place value at a time and join the parts. 1994 = 1000 + 900 + 90 + 4 = M + CM + XC + IV = MCMXCIV, and 49 = 40 + 9 = XL + IX = XLIX.
A letter is subtracted only from the next two larger letters: I from V and X, X from L and C, C from D and M. So 49 is not IL, and 99 is XCIX, not IC.
Every number from 1 to 100, then subtractive examples, well-known years and 3999, the largest standard numeral:
| Number | Standard Roman numeral |
|---|---|
| 1 | I |
| 2 | II |
| 3 | III |
| 4 | IV |
| 5 | V |
| 6 | VI |
| 7 | VII |
| 8 | VIII |
| 9 | IX |
| 10 | X |
| 11 | XI |
| 12 | XII |
| 13 | XIII |
| 14 | XIV |
| 15 | XV |
| 16 | XVI |
| 17 | XVII |
| 18 | XVIII |
| 19 | XIX |
| 20 | XX |
| 21 | XXI |
| 22 | XXII |
| 23 | XXIII |
| 24 | XXIV |
| 25 | XXV |
| 26 | XXVI |
| 27 | XXVII |
| 28 | XXVIII |
| 29 | XXIX |
| 30 | XXX |
| 31 | XXXI |
| 32 | XXXII |
| 33 | XXXIII |
| 34 | XXXIV |
| 35 | XXXV |
| 36 | XXXVI |
| 37 | XXXVII |
| 38 | XXXVIII |
| 39 | XXXIX |
| 40 | XL |
| 41 | XLI |
| 42 | XLII |
| 43 | XLIII |
| 44 | XLIV |
| 45 | XLV |
| 46 | XLVI |
| 47 | XLVII |
| 48 | XLVIII |
| 49 | XLIX |
| 50 | L |
| 51 | LI |
| 52 | LII |
| 53 | LIII |
| 54 | LIV |
| 55 | LV |
| 56 | LVI |
| 57 | LVII |
| 58 | LVIII |
| 59 | LIX |
| 60 | LX |
| 61 | LXI |
| 62 | LXII |
| 63 | LXIII |
| 64 | LXIV |
| 65 | LXV |
| 66 | LXVI |
| 67 | LXVII |
| 68 | LXVIII |
| 69 | LXIX |
| 70 | LXX |
| 71 | LXXI |
| 72 | LXXII |
| 73 | LXXIII |
| 74 | LXXIV |
| 75 | LXXV |
| 76 | LXXVI |
| 77 | LXXVII |
| 78 | LXXVIII |
| 79 | LXXIX |
| 80 | LXXX |
| 81 | LXXXI |
| 82 | LXXXII |
| 83 | LXXXIII |
| 84 | LXXXIV |
| 85 | LXXXV |
| 86 | LXXXVI |
| 87 | LXXXVII |
| 88 | LXXXVIII |
| 89 | LXXXIX |
| 90 | XC |
| 91 | XCI |
| 92 | XCII |
| 93 | XCIII |
| 94 | XCIV |
| 95 | XCV |
| 96 | XCVI |
| 97 | XCVII |
| 98 | XCVIII |
| 99 | XCIX |
| 100 | C |
| 400 | CD |
| 499 | CDXCIX |
| 900 | CM |
| 944 | CMXLIV |
| 1776 | MDCCLXXVI |
| 1912 | MCMXII |
| 1994 | MCMXCIV |
| 2024 | MMXXIV |
| 2025 | MMXXV |
| 2026 | MMXXVI |
| 3999 | MMMCMXCIX |
An overline, or vinculum, multiplies the letters under it by 1000: 4000 is I̅V̅, 5000 is V̅ and 50,000 is L̅. In 4026 = I̅V̅XXVI, only the thousands are overlined.
The notation reaches 3,999,999, written M̅M̅M̅C̅M̅X̅C̅I̅X̅CMXCIX. MMMM breaks the three-repeat rule: it reads as 4000, but the standard form is I̅V̅.
In typed text, each overlined letter is followed by a combining overline character, U+0305 in Unicode. A bar typed before a letter, or underscore notation such as _V, is not an overline.
Numerals are read with one rule: subtract a letter that is smaller than the letter after it, and add every other letter. That gives IIII = 4, IC = 99 and IIV = 5, whose standard spellings are IV, XCIX and V.
A value is not a validity check. Clock faces often show IIII for four, but IC is not standard form. For schoolwork, chapter headings or an inscription, use the standard spelling.
A year is one number: 2026 is MMXXVI and 1776 is MDCCLXXVI. For a full date, convert the day, month and year separately. In day/month/year order, 3 October 2026 becomes III, X and MMXXVI, joined with whatever separator you use, such as III.X.MMXXVI.
To count the days between two dates, use the days between dates calculator.
Excel's ROMAN function returns the classic form by default: =ROMAN(499) gives CDXCIX. Its optional form argument produces shorter, nonstandard spellings, so check which form a spreadsheet used.
The ARABIC function converts back: =ARABIC("LVII") gives 57 and =ARABIC("mcmxii") gives 1912. ARABIC returns 0 for an empty string, although Roman numerals have no zero.
Checked against: Wikipedia — Roman numerals, standard-form examples (2421 = MMCDXXI)
Checked against: Inscription JULY IV MDCCLXXVI on the Statue of Liberty's tablet
Checked against: Wikipedia — Roman numerals: MMMCMXCIX is the largest number in standard form; Excel ROMAN(3999)
Checked against: XL = 40, II = 2
MMXXVI: MM = 2000, XX = 20 and VI = 6. Years are converted one place at a time, so 1999 is MCMXCIX (1000 + 900 + 90 + 9) rather than MIM, and 2000 is simply MM. The same rule gives MDCCLXXVI for 1776, the year inscribed on the tablet held by the Statue of Liberty.
In standard form the largest number is 3999, written MMMCMXCIX, because there is no letter for 5000 and a letter repeats at most three times. Excel's ROMAN function returns #VALUE! above 3999 for the same reason. Larger numbers used an overline (vinculum) that multiplies by 1000: V̅ is 5000 and I̅V̅ is 4000, which takes this converter up to 3,999,999.
IV is the standard form; IIII is the additive form, and both mean 4. Standard form uses only six subtractive pairs: IV, IX, XL, XC, CD and CM. Many clock faces still show IIII for four o'clock while using IX for nine, a practice that goes back to clocks such as the late 14th-century Wells Cathedral clock. The converter reads IIII as 4 and gives IV as the standard spelling.
Standard form lets a letter be subtracted only from the next two larger letters: I from V and X, X from L and C, and C from D and M. So 99 is 90 + 9 = XC + IX = XCIX, and 49 is XLIX rather than IL. Excel's ROMAN function breaks the rule only on request: its form 4 writes 499 as ID, while the default form gives CDXCIX.
No. The Roman system had no symbol for zero, so the converter starts at 1. Medieval scholars wrote the Latin word nulla ("none") instead: Dionysius Exiguus used it in 525, and around 725 Bede or a colleague abbreviated it to the letter N.
This calculator includes 8 worked examples with independently sourced answers. They run in the test suite, and you can run them here too.