210
210 is a even composite number that follows 209 and precedes 211. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. Its prime factorization can be written as 2 × 3 × 5 × 7. 210 is classified as a abundant number based on the sum of its proper divisors. In computer science, 210 is represented as 11010010 in binary and D2 in hexadecimal. Historically, it is written as CCX in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 7) reveals 4 prime building blocks.
Divisible by 2
210 ends in 0, so it is even.
Divisible by 3
The digit sum 3 is a multiple of 3.
Divisible by 4
The last two digits 10 are not divisible by 4.
Divisible by 5
210 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 3 is not a multiple of 9.
Divisible by 10
210 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 210 within several notable number theory sequences:
Timeline
Deep dive
How 210 breaks down
210 carries 16 distinct factors and a digit signature of 3 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 366, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010010 supports bitwise reasoning, hexadecimal D2 aligns with computing notation, and the Roman numeral CCX keeps the encyclopedic tradition alive. These attributes make 210 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 210 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (205–215) to tune search ranges, and educators feature 210 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 210 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 210
Is 210 a prime number?
210 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 7.
What is the prime factorization of 210?
It breaks down as 2 × 3 × 5 × 7, multiplying the primes 2 × 3 × 5 × 7.
How is 210 represented in binary and hexadecimal?
210 converts to 11010010 in binary and D2 in hexadecimal, which are helpful for computer science applications.
Is 210 a perfect square, cube, or triangular number?
210 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 210?
The digits sum to 3, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.