7002
7002 is a even composite number that follows 7001 and precedes 7003. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002. Its prime factorization can be written as 2 × 3^2 × 389. 7002 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7002 is represented as 1101101011010 in binary and 1B5A in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 389) reveals 4 prime building blocks.
Divisible by 2
7002 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
7002 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 9 is a multiple of 9.
Divisible by 10
7002 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 7002 within several notable number theory sequences:
Timeline
Deep dive
How 7002 breaks down
7002 carries 12 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 8208, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101011010 supports bitwise reasoning, hexadecimal 1B5A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7002 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7002 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6997–7007) to tune search ranges, and educators feature 7002 in worksheets about factor trees. Its binary footprint of length 13 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 7002 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 7002
Is 7002 a prime number?
7002 is composite with 12 total factors and the prime factorization 2 × 3^2 × 389.
What is the prime factorization of 7002?
It breaks down as 2 × 3^2 × 389, multiplying the primes 2 × 3 × 3 × 389.
How is 7002 represented in binary and hexadecimal?
7002 converts to 1101101011010 in binary and 1B5A in hexadecimal, which are helpful for computer science applications.
Is 7002 a perfect square, cube, or triangular number?
7002 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7002?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.