1002
1002 is a even composite number that follows 1001 and precedes 1003. It is composed of 8 distinct factors: 1, 2, 3, 6, 167, 334, 501, 1002. Its prime factorization can be written as 2 × 3 × 167. 1002 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1002 is represented as 1111101010 in binary and 3EA in hexadecimal. Historically, it is written as MII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 167) reveals 3 prime building blocks.
Divisible by 2
1002 ends in 2, so it is even.
Divisible by 3
The digit sum 3 is a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
1002 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 3 is not a multiple of 9.
Divisible by 10
1002 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 1002 within several notable number theory sequences:
Timeline
Deep dive
How 1002 breaks down
1002 carries 8 distinct factors and a digit signature of 3 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1014, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101010 supports bitwise reasoning, hexadecimal 3EA aligns with computing notation, and the Roman numeral MII keeps the encyclopedic tradition alive. These attributes make 1002 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1002 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (997–1007) to tune search ranges, and educators feature 1002 in worksheets about factor trees. Its binary footprint of length 10 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 1002 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 1002
Is 1002 a prime number?
1002 is composite with 8 total factors and the prime factorization 2 × 3 × 167.
What is the prime factorization of 1002?
It breaks down as 2 × 3 × 167, multiplying the primes 2 × 3 × 167.
How is 1002 represented in binary and hexadecimal?
1002 converts to 1111101010 in binary and 3EA in hexadecimal, which are helpful for computer science applications.
Is 1002 a perfect square, cube, or triangular number?
1002 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1002?
The digits sum to 3, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.