219
219 is a odd composite number that follows 218 and precedes 220. It is composed of 4 distinct factors: 1, 3, 73, 219. Its prime factorization can be written as 3 × 73. 219 is classified as a deficient number based on the sum of its proper divisors. In computer science, 219 is represented as 11011011 in binary and DB in hexadecimal. Historically, it is written as CCXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 73) reveals 2 prime building blocks.
Divisible by 2
219 ends in 9, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 19 are not divisible by 4.
Divisible by 5
219 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
219 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 219 within several notable number theory sequences:
Timeline
Deep dive
How 219 breaks down
219 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 77, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11011011 supports bitwise reasoning, hexadecimal DB aligns with computing notation, and the Roman numeral CCXIX keeps the encyclopedic tradition alive. These attributes make 219 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 219 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (214–224) to tune search ranges, and educators feature 219 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, Deficient numbers) help historians, numerologists, and trivia writers tie 219 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 219
Is 219 a prime number?
219 is composite with 4 total factors and the prime factorization 3 × 73.
What is the prime factorization of 219?
It breaks down as 3 × 73, multiplying the primes 3 × 73.
How is 219 represented in binary and hexadecimal?
219 converts to 11011011 in binary and DB in hexadecimal, which are helpful for computer science applications.
Is 219 a perfect square, cube, or triangular number?
219 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 219?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.