10,000

10,000 (Ten Thousand)

Ten thousand is the natural number following 9,999 and preceding 10,001. It is the base of several numeral systems, most notably some East Asian systems.

Mathematical Properties

• It is the square of 100 (100²).
• It is 10 raised to the power of 4 (10⁴), also known as ten to the fourth power.
• In scientific notation, it is written as 1 × 10⁴.
• It is a composite number with numerous divisors.
• It is used as a convenient round number for estimation and approximation.

Cultural Significance

• In many cultures, 10,000 is used symbolically to represent a large, uncountable quantity or infinity. Phrases like "ten thousand things" or "ten thousand years" are common idioms that signify vastness or perpetuity.
• In some East Asian cultures, especially China, the number 10,000 (万, wàn in Mandarin Chinese) holds particular significance, representing completeness or perfection. It can represent the totality of something or a great abundance.
• The phrase "a thousand points of light," popularized by U.S. President George H.W. Bush, evokes a similar sentiment of numerous and varied contributions making up a greater whole, drawing on the cultural understanding that a large number represents something significant.
• Historically, in some measurement systems, 10,000 has served as a unit, particularly for land area or currency.

Use in Language

• The word "myriad" is often used synonymously with 10,000 or, more generally, to mean a very large number. However, "myriad" refers to 10,000 only when used in specific historical contexts (e.g., the Greek myriad was specifically 10,000). In modern usage, it generally refers to a large, indefinite number.
• The term "tenner" is sometimes used informally to refer to a ten-dollar or ten-pound note, but this is distinct from the literal number 10,000.

Computing

• In computing, 10,000 is frequently used as a benchmark or testing point for systems and algorithms designed to handle large datasets or high volumes of requests. Because it is a relatively small power of ten, it allows for performance evaluation without immediately stressing the system to its absolute limit.
• Database systems may use 10,000 as a sample size for testing query performance.
• Simulations may use 10,000 iterations to collect sufficient data for statistical analysis.