299,792,458
299,792,458 metres per second is the speed of light in vacuum — and it is exact by definition, not by measurement.
- Even
- Composite
Where 299,792,458 fits
Why 299,792,458 is special
Since 1983 the metre has been defined as the distance light travels in 1/299,792,458 of a second. That inverts the usual relationship: the number is not a measurement of nature that better instruments could refine, it is a definition that fixes how long a metre is. Any future experiment that appears to disagree is re-read as a more precise metre rather than a different speed of light.
299,792,458 connects to:
- si second definition — appears in
Same number, different meanings
How 299,792,458 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Since 1983 the metre has been defined as the distance light travels in 1/299,792,458 of a second. That inverts the usual relationship: the number is not a measurement of nature that better instruments could refine, it is a definition that fixes how long a metre is. Any future experiment that appears to disagree is re-read as a more precise metre rather than a different speed of light.
- History
The figure was chosen to match the best measurements then available rather than rounded to 300,000,000, so that the new metre would be indistinguishable in practice from the krypton-86 wavelength standard it replaced. Rounding would have been tidier and would have silently changed the length of every existing metre.
- Technology & computing
Because the value is exact by definition, distances derived from timing — the basis of satellite navigation and of lunar laser ranging — carry no uncertainty from the constant itself. The remaining error budget belongs to the clocks and the atmosphere, which is a meaningfully different engineering problem from one where the constant is also in doubt.
- Everyday life
Light covers very close to 30 centimetres in a nanosecond — the fact Grace Hopper made concrete by handing out lengths of wire that long. It is the most useful way to hold the number: signal delay in a cable is not an abstraction but roughly a nanosecond per foot.
- Science
One light-second is 299,792,458 metres by definition. The Moon averages about 1.28 light-seconds from Earth, which is why a two-and-a-half-second round trip was audible in the Apollo transmissions — a delay imposed by this constant and by nothing that better equipment could remove.
299,792,458 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 7, 14, 73, 146, 511, 1022, 293339, 586678, 2053373, 4106746, 21413747, 42827494, 149896229, 299792458
- Prime factorisation
- 2 × 7 × 73 × 293339
- Digit sum
- 55
- Digital root
- 1
Representations
- Decimal
- 299792458
- Scientific notation
- 2.998 × 10^8
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0
1 × 268,435,456 + 0 × 134,217,728 + 0 × 67,108,864 + 0 × 33,554,432 + 1 × 16,777,216 + 1 × 8,388,608 + 1 × 4,194,304 + 0 × 2,097,152 + 1 × 1,048,576 + 1 × 524,288 + 1 × 262,144 + 1 × 131,072 + 0 × 65,536 + 0 × 32,768 + 1 × 16,384 + 1 × 8,192 + 1 × 4,096 + 1 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 299,792,458
Octal
2 1 6 7 4 7 4 1 1 2
2 × 134,217,728 + 1 × 16,777,216 + 6 × 2,097,152 + 7 × 262,144 + 4 × 32,768 + 7 × 4,096 + 4 × 512 + 1 × 64 + 1 × 8 + 2 × 1 = 299,792,458
Hexadecimal
1 1 d e 7 8 4 a
1 × 268,435,456 + 1 × 16,777,216 + d × 1,048,576 + e × 65,536 + 7 × 4,096 + 8 × 256 + 4 × 16 + a × 1 = 299,792,458
Other mathematical patterns
- Deficient number
Related numbers & connections
The 1983 metre is defined as the distance light travels in 1/299,792,458 of a second, so this constant binds the metre to the second rather than to any physical artefact.
Numbers Around Us
- appears inSI second (caesium standard)
why?
Strength 0.50, confidence "high".
History
The figure was chosen to match the best measurements then available rather than rounded to 300,000,000, so that the new metre would be indistinguishable in practice from the krypton-86 wavelength standard it replaced. Rounding would have been tidier and would have silently changed the length of every existing metre.
DocumentedHistoryBefore 1983 the metre was defined by the orange-red emission line of krypton-86, and before 1960 by a platinum-iridium bar kept near Paris. Each redefinition kept the length the same and changed what it was anchored to — from an object, to an atomic property, to a constant of nature.
DocumentedHistory
Technology & computing
Because the value is exact by definition, distances derived from timing — the basis of satellite navigation and of lunar laser ranging — carry no uncertainty from the constant itself. The remaining error budget belongs to the clocks and the atmosphere, which is a meaningfully different engineering problem from one where the constant is also in doubt.
DocumentedTechnology & computingThe 15th Conference generale des poids et mesures recommended 299,792,458 metres per second as the best value in 1975, eight years before the metre was redefined from it. The 1983 decision therefore ratified a figure already in use rather than introducing a new one.
DocumentedTechnology & computing
Everyday life
Light covers very close to 30 centimetres in a nanosecond — the fact Grace Hopper made concrete by handing out lengths of wire that long. It is the most useful way to hold the number: signal delay in a cable is not an abstraction but roughly a nanosecond per foot.
DocumentedEveryday life
Science
One light-second is 299,792,458 metres by definition. The Moon averages about 1.28 light-seconds from Earth, which is why a two-and-a-half-second round trip was audible in the Apollo transmissions — a delay imposed by this constant and by nothing that better equipment could remove.
DocumentedScienceThe 17th Conference generale des poids et mesures fixed the speed of light in vacuum at exactly 299,792,458 metres per second in 1983, and defined the metre from it: the distance light travels in 1/299,792,458 of a second. The constant stopped being something experiments measure and became something they calibrate against.
DocumentedScienceThe speed of light in vacuum is the same for every observer regardless of their motion, which is what makes it usable as a definition: an anchor that changed with the laboratory's velocity would define a different metre in every laboratory. That invariance is the substantive reason for the choice, not the speed's magnitude.
DocumentedScience
Common questions
Why is the speed of light exactly 299,792,458 m/s?
Because the metre is defined from it. Since 1983 a metre is the distance light travels in 1/299,792,458 of a second, so the figure is fixed by definition rather than measured. An experiment that seemed to disagree would be read as a more precise metre, not a different speed of light.
Why not round it to 300,000,000?
Rounding would have changed the length of the metre by about one part in 700,000 — small, but enough to invalidate every existing measurement standard. The value was chosen to match the krypton-86 metre it replaced so closely that nothing had to be recalibrated.
Is the speed of light ever different?
In a medium, yes — light travels slower through glass or water, which is what refraction is. The defined constant is specifically the speed in vacuum, and that is the value that is exact.
How far is a light-second?
299,792,458 metres, by definition — roughly 300,000 kilometres. The Moon is about 1.28 light-seconds away, which is why Apollo transmissions carried an audible round-trip delay of about two and a half seconds.
Is 299,792,458 a prime number?
No, 299,792,458 is not prime.
What are the factors of 299,792,458?
The factors of 299,792,458 are 1, 2, 7, 14, 73, 146, 511, 1022, 293339, 586678, 2053373, 4106746, 21413747, 42827494, 149896229, 299792458.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 8 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026