2000
2000 is a even composite number that follows 1999 and precedes 2001. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000. Its prime factorization can be written as 2^4 × 5^3. 2000 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2000 is represented as 11111010000 in binary and 7D0 in hexadecimal. Historically, it is written as MM in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5^3) reveals 7 prime building blocks.
Divisible by 2
2000 ends in 0, so it is even.
Divisible by 3
The digit sum 2 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
2000 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 2 is not a multiple of 9.
Divisible by 10
2000 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 2000 within several notable number theory sequences:
Timeline
Deep dive
How 2000 breaks down
2000 carries 20 distinct factors and a digit signature of 2 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 2836, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111010000 supports bitwise reasoning, hexadecimal 7D0 aligns with computing notation, and the Roman numeral MM keeps the encyclopedic tradition alive. These attributes make 2000 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2000 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1995–2005) to tune search ranges, and educators feature 2000 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 2000 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 2000
Is 2000 a prime number?
2000 is composite with 20 total factors and the prime factorization 2^4 × 5^3.
What is the prime factorization of 2000?
It breaks down as 2^4 × 5^3, multiplying the primes 2 × 2 × 2 × 2 × 5 × 5 × 5.
How is 2000 represented in binary and hexadecimal?
2000 converts to 11111010000 in binary and 7D0 in hexadecimal, which are helpful for computer science applications.
Is 2000 a perfect square, cube, or triangular number?
2000 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2000?
The digits sum to 2, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.