2002
2002 is a even composite number that follows 2001 and precedes 2003. It is composed of 16 distinct factors: 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002. Its prime factorization can be written as 2 × 7 × 11 × 13. 2002 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2002 is represented as 11111010010 in binary and 7D2 in hexadecimal. Historically, it is written as MMII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 7 × 11 × 13) reveals 4 prime building blocks.
Divisible by 2
2002 ends in 2, so it is even.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
2002 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 4 is not a multiple of 9.
Divisible by 10
2002 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 2002 within several notable number theory sequences:
Timeline
Deep dive
How 2002 breaks down
2002 carries 16 distinct factors and a digit signature of 4 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 2030, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111010010 supports bitwise reasoning, hexadecimal 7D2 aligns with computing notation, and the Roman numeral MMII keeps the encyclopedic tradition alive. These attributes make 2002 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2002 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1997–2007) to tune search ranges, and educators feature 2002 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 2002 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 2002
Is 2002 a prime number?
2002 is composite with 16 total factors and the prime factorization 2 × 7 × 11 × 13.
What is the prime factorization of 2002?
It breaks down as 2 × 7 × 11 × 13, multiplying the primes 2 × 7 × 11 × 13.
How is 2002 represented in binary and hexadecimal?
2002 converts to 11111010010 in binary and 7D2 in hexadecimal, which are helpful for computer science applications.
Is 2002 a perfect square, cube, or triangular number?
2002 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2002?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.