What does MMMDIV mean?

MMMDIV is the Roman numeral for 3,504 — 1000 + 1000 + 1000 + 500 + 4.

How do you write 3504 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: M (1000), then M (1000), then M (1000), then D (500), then IV (4). That gives MMMDIV.

3,504 in Roman numerals

MMMDIV

Number (1–3,999 for numerals)

Roman numeral

3,504 is written MMMDIV in Roman numerals. That is 5 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MMMDIV = 1000 + 1000 + 1000 + 500 + 4 = 3,504
Group	Value	Subtraction	Running total
M	1,000	—	1,000
M	1,000	—	2,000
M	1,000	—	3,000
D	500	—	3,500
IV	4	V − I	3,504

Why the smaller symbol comes first

MMMDIV 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	yes — 1×
M	1,000	yes — 3×

The same number, other ways

In words: Three thousand five hundred four
Roman numeral: MMMDIV
Symbol count: 6 characters
Binary: 110110110000
Hexadecimal: DB0

The numbers either side

Number	Roman numeral
3,502	MMMDII
3,503	MMMDIII
3,504	MMMDIV ←
3,505	MMMDV
3,506	MMMDVI

Common questions

What is 3504 in Roman numerals?: 3,504 is MMMDIV.
What does MMMDIV mean?: MMMDIV is the Roman numeral for 3,504 — 1000 + 1000 + 1000 + 500 + 4.
How do you write 3504 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: M (1000), then M (1000), then M (1000), then D (500), then IV (4). That gives MMMDIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked