10,000 (ten thousand) is the natural number following 9,999 and preceding 10,001.

Name

Many languages have a specific word for this number: in Ancient Greek it is μύριοι (the etymological root of the word myriad in English), in Aramaic ܪܒܘܬܐ, in Hebrew רבבה [], in Chinese 萬/万 (Mandarin, Cantonese , Hokkien bān), in Japanese 万/萬 [], in Khmer ម៉ឺន [], in Korean 만/萬 [], in Russian тьма [], in Vietnamese vạn, in Sanskrit अयुत [ayuta], in Thai หมื่น [], in Malayalam പതിനായിരം [], and in Malagasy alina. In many of these languages, it often denotes a very large but indefinite number. The classical Greeks used letters of the Greek alphabet to represent Greek numerals: they used a capital letter mu (Μ) to represent ten thousand. This Greek root was used in early versions of the metric system in the form of the decimal prefix myria-. Depending on the country, the number ten thousand is usually written as 10,000 (including in the UK and US), 10.000, or 10 000.

In mathematics

In scientific notation it is written as 104 or 1 E+4 (equivalently 1 E4) in E notation. It is the square of 100 and the square root of 100,000,000. The value of a myriad to the power of itself, 1000010000 = 1040000. It has a total of 25 divisors, whose geometric mean is a whole number, 100 (the number of primes below this value is 25). It has a reduced totient of 500, and a totient of 4,000, with a total of 16 integers having a totient value of 10,000. There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime. A myriagon is a polygon with ten thousand edges and a total of 25 dihedral symmetry groups when including the myriagon itself, alongside 25 cyclic groups as subgroups.

In science

In time

In the arts

In other fields

Selected numbers in the range 10001-19999

10001 to 10999

10176*10n-1 is always divisible by one of the prime numbers {{math|{7, 11, 13, 37}}

11000 to 11999

12000 to 12999

13000 to 13999

14000 to 14999

15000 to 15999

16000 to 16999

17000 to 17999

18000 to 18999

19000 to 19999

Primes

There are 1033 prime numbers between 10000 and 20000, a count that is itself prime. It is 196 prime numbers less than the number of primes between 0 and 10000 (1229, also prime).