215
215 is a odd composite number that follows 214 and precedes 216. It is composed of 4 distinct factors: 1, 5, 43, 215. Its prime factorization can be written as 5 × 43. 215 is classified as a deficient number based on the sum of its proper divisors. In computer science, 215 is represented as 11010111 in binary and D7 in hexadecimal. Historically, it is written as CCXV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 43) reveals 2 prime building blocks.
Divisible by 2
215 ends in 5, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 15 are not divisible by 4.
Divisible by 5
215 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 8 is not a multiple of 9.
Divisible by 10
215 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 215 within several notable number theory sequences:
Timeline
Deep dive
How 215 breaks down
215 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 49, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010111 supports bitwise reasoning, hexadecimal D7 aligns with computing notation, and the Roman numeral CCXV keeps the encyclopedic tradition alive. These attributes make 215 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 215 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (210–220) to tune search ranges, and educators feature 215 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 215 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 215
Is 215 a prime number?
215 is composite with 4 total factors and the prime factorization 5 × 43.
What is the prime factorization of 215?
It breaks down as 5 × 43, multiplying the primes 5 × 43.
How is 215 represented in binary and hexadecimal?
215 converts to 11010111 in binary and D7 in hexadecimal, which are helpful for computer science applications.
Is 215 a perfect square, cube, or triangular number?
215 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 215?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.