702
702 is a even composite number that follows 701 and precedes 703. It is composed of 16 distinct factors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. Its prime factorization can be written as 2 × 3^3 × 13. 702 is classified as a abundant number based on the sum of its proper divisors. In computer science, 702 is represented as 1010111110 in binary and 2BE in hexadecimal. Historically, it is written as DCCII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^3 × 13) reveals 5 prime building blocks.
Divisible by 2
702 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
702 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
702 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 702 within several notable number theory sequences:
Timeline
Deep dive
How 702 breaks down
702 carries 16 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 978, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010111110 supports bitwise reasoning, hexadecimal 2BE aligns with computing notation, and the Roman numeral DCCII keeps the encyclopedic tradition alive. These attributes make 702 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 702 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (697–707) to tune search ranges, and educators feature 702 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 702 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 702
Is 702 a prime number?
702 is composite with 16 total factors and the prime factorization 2 × 3^3 × 13.
What is the prime factorization of 702?
It breaks down as 2 × 3^3 × 13, multiplying the primes 2 × 3 × 3 × 3 × 13.
How is 702 represented in binary and hexadecimal?
702 converts to 1010111110 in binary and 2BE in hexadecimal, which are helpful for computer science applications.
Is 702 a perfect square, cube, or triangular number?
702 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 702?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.