212
212 is a even composite number that follows 211 and precedes 213. It is composed of 6 distinct factors: 1, 2, 4, 53, 106, 212. Its prime factorization can be written as 2^2 × 53. 212 is classified as a deficient number based on the sum of its proper divisors. In computer science, 212 is represented as 11010100 in binary and D4 in hexadecimal. Historically, it is written as CCXII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 53) reveals 3 prime building blocks.
Divisible by 2
212 ends in 2, so it is even.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 12 form a multiple of 4.
Divisible by 5
212 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 5 is not a multiple of 9.
Divisible by 10
212 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 212 within several notable number theory sequences:
Timeline
Deep dive
How 212 breaks down
212 carries 6 distinct factors and a digit signature of 5 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 166, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010100 supports bitwise reasoning, hexadecimal D4 aligns with computing notation, and the Roman numeral CCXII keeps the encyclopedic tradition alive. These attributes make 212 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 212 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (207–217) to tune search ranges, and educators feature 212 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 212 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 212
Is 212 a prime number?
212 is composite with 6 total factors and the prime factorization 2^2 × 53.
What is the prime factorization of 212?
It breaks down as 2^2 × 53, multiplying the primes 2 × 2 × 53.
How is 212 represented in binary and hexadecimal?
212 converts to 11010100 in binary and D4 in hexadecimal, which are helpful for computer science applications.
Is 212 a perfect square, cube, or triangular number?
212 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 212?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.