What does DCCXLVI mean?

DCCXLVI is the Roman numeral for 746 — 500 + 100 + 100 + 40 + 5 + 1.

How do you write 746 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: D (500), then C (100), then C (100), then XL (40), then V (5), then I (1). That gives DCCXLVI.

746 in Roman numerals

DCCXLVI

Number (1–3,999 for numerals)

Roman numeral

746 is written DCCXLVI in Roman numerals. That is 6 symbol groups added together, reading left to right from the largest value down.

How it breaks down

DCCXLVI = 500 + 100 + 100 + 40 + 5 + 1 = 746
Group	Value	Subtraction	Running total
D	500	—	500
C	100	—	600
C	100	—	700
XL	40	L − X	740
V	5	—	745
I	1	—	746

Why the smaller symbol comes first

DCCXLVI uses subtractive notation in one place: XL means L minus X, or 40. 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	yes — 1×
L	50	yes — 1×
C	100	yes — 2×
D	500	yes — 1×
M	1,000	no

The same number, other ways

In words: Seven hundred forty-six
Roman numeral: DCCXLVI
Symbol count: 7 characters
Binary: 1011101010
Hexadecimal: 2EA

The numbers either side

Number	Roman numeral
744	DCCXLIV
745	DCCXLV
746	DCCXLVI ←
747	DCCXLVII
748	DCCXLVIII

Common questions

What is 746 in Roman numerals?: 746 is DCCXLVI.
What does DCCXLVI mean?: DCCXLVI is the Roman numeral for 746 — 500 + 100 + 100 + 40 + 5 + 1.
How do you write 746 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: D (500), then C (100), then C (100), then XL (40), then V (5), then I (1). That gives DCCXLVI.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked