10,000
10,000 is a myriad — historically the largest named number in ancient Greek, and a counting unit in East Asian languages.
Where 10,000 fits
Why 10,000 is special
10,000 is a grouping boundary in much of the world and invisible in the rest. English groups digits in thousands, so 10,000 is just 'ten thousand'; Chinese, Japanese and Korean group in ten-thousands, making it a single named unit (wàn, man, man) the way 'thousand' is in English. That mismatch is why converting large figures between the two systems is error-prone.
Same number, different meanings
How 10,000 is understood across different contexts — never implying one meaning because of another.
- Mathematics
10,000 is a grouping boundary in much of the world and invisible in the rest. English groups digits in thousands, so 10,000 is just 'ten thousand'; Chinese, Japanese and Korean group in ten-thousands, making it a single named unit (wàn, man, man) the way 'thousand' is in English. That mismatch is why converting large figures between the two systems is error-prone.
- History
Myriad comes from the Greek myrias, ten thousand, which was the largest number with its own name in classical Greek — beyond it, quantities were expressed as multiples of myriads. Archimedes wrote The Sand Reckoner partly to demonstrate that a notation for far larger numbers was possible at all.
- Culture
English groups large numbers in thousands, so 10,000 is a compound: ten thousands. Chinese, Japanese and Korean group in ten-thousands, making it a single unit — wàn, man, man — with the next unit at 100,000,000 rather than 1,000,000. Translators routinely mis-scale figures by a factor of ten or a hundred at this boundary.
10,000 is part of
Factors & digit properties
- Divisors (25)
- 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000
- Prime factorisation
- 2^4 × 5^4
- Digit sum
- 1
- Digital root
- 1
Representations
- Decimal
- 10000
- Scientific notation
- 1.000 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 1 1 1 0 0 0 1 0 0 0 0
1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 10,000
Octal
2 3 4 2 0
2 × 4,096 + 3 × 512 + 4 × 64 + 2 × 8 + 0 × 1 = 10,000
Hexadecimal
2 7 1 0
2 × 4,096 + 7 × 256 + 1 × 16 + 0 × 1 = 10,000
Read as powers of two: 8,192 + 1,024 + 512 + 256 + 16 = 10,000.
In historical numeral systems
Egyptian
1 finger
1 × 10,000 = 10,000. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Abundant number
- Happy number
- Powerful number
- Harshad (Niven) number
History
Myriad comes from the Greek myrias, ten thousand, which was the largest number with its own name in classical Greek — beyond it, quantities were expressed as multiples of myriads. Archimedes wrote The Sand Reckoner partly to demonstrate that a notation for far larger numbers was possible at all.
DocumentedHistoryCulture: classical Greek
Culture
English groups large numbers in thousands, so 10,000 is a compound: ten thousands. Chinese, Japanese and Korean group in ten-thousands, making it a single unit — wàn, man, man — with the next unit at 100,000,000 rather than 1,000,000. Translators routinely mis-scale figures by a factor of ten or a hundred at this boundary.
DocumentedCulture
Common questions
Is 10,000 a prime number?
No, 10,000 is not prime.
What are the factors of 10,000?
The factors of 10,000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026