What does DCCXLII mean?

DCCXLII is the Roman numeral for 742 — 500 + 100 + 100 + 40 + 1 + 1.

How do you write 742 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 I (1), then I (1). That gives DCCXLII.

742 in Roman numerals

DCCXLII

Number (1–3,999 for numerals)

Roman numeral

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

How it breaks down

DCCXLII = 500 + 100 + 100 + 40 + 1 + 1 = 742
Group	Value	Subtraction	Running total
D	500	—	500
C	100	—	600
C	100	—	700
XL	40	L − X	740
I	1	—	741
I	1	—	742

Why the smaller symbol comes first

DCCXLII 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 — 2×
V	5	no
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-two
Roman numeral: DCCXLII
Symbol count: 7 characters
Binary: 1011100110
Hexadecimal: 2E6

The numbers either side

Number	Roman numeral
740	DCCXL
741	DCCXLI
742	DCCXLII ←
743	DCCXLIII
744	DCCXLIV

Common questions

What is 742 in Roman numerals?: 742 is DCCXLII.
What does DCCXLII mean?: DCCXLII is the Roman numeral for 742 — 500 + 100 + 100 + 40 + 1 + 1.
How do you write 742 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 I (1), then I (1). That gives DCCXLII.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked