At One Place

3,004 in Roman numerals

3,004 in Roman numerals
MMMIV

3,004 is written MMMIV in Roman numerals. That is 4 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MMMIV = 1000 + 1000 + 1000 + 4 = 3,004
Group Value Subtraction Running total
M 1,000 1,000
M 1,000 2,000
M 1,000 3,000
IV 4 V − I 3,004

Why the smaller symbol comes first

MMMIV uses subtractive notation in one place: IV means V minus I, or 4. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol Value Used here
I 1 yes — 1×
V 5 yes — 1×
X 10 no
L 50 no
C 100 no
D 500 no
M 1,000 yes — 3×

The same number, other ways

In words
Three thousand four
Roman numeral
MMMIV
Symbol count
5 characters
Binary
101110111100
Hexadecimal
BBC

The numbers either side

Number Roman numeral
3,002 MMMII
3,003 MMMIII
3,004 MMMIV ←
3,005 MMMV
3,006 MMMVI

Common questions

What is 3004 in Roman numerals?
3,004 is MMMIV.
What does MMMIV mean?
MMMIV is the Roman numeral for 3,004 — 1000 + 1000 + 1000 + 4.
How do you write 3004 in Roman numerals?
Take the largest value that fits and repeat until nothing is left: M (1000), then M (1000), then M (1000), then IV (4). That gives MMMIV.

Related pages

Sources

  1. Calculated on this page — At One Place

How these figures are compiled and checked