690
690 is a even composite number that follows 689 and precedes 691. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. Its prime factorization can be written as 2 × 3 × 5 × 23. 690 is classified as a abundant number based on the sum of its proper divisors. In computer science, 690 is represented as 1010110010 in binary and 2B2 in hexadecimal. Historically, it is written as DCXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 23) reveals 4 prime building blocks.
Divisible by 2
690 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
690 ends in 0, so it is divisible by 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 15 is not a multiple of 9.
Divisible by 10
690 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 690 within several notable number theory sequences:
Timeline
Deep dive
How 690 breaks down
690 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1038, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110010 supports bitwise reasoning, hexadecimal 2B2 aligns with computing notation, and the Roman numeral DCXC keeps the encyclopedic tradition alive. These attributes make 690 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 690 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (685–695) to tune search ranges, and educators feature 690 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 690 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 690
Is 690 a prime number?
690 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 23.
What is the prime factorization of 690?
It breaks down as 2 × 3 × 5 × 23, multiplying the primes 2 × 3 × 5 × 23.
How is 690 represented in binary and hexadecimal?
690 converts to 1010110010 in binary and 2B2 in hexadecimal, which are helpful for computer science applications.
Is 690 a perfect square, cube, or triangular number?
690 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 690?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.