1222
1222 is a even composite number that follows 1221 and precedes 1223. It is composed of 8 distinct factors: 1, 2, 13, 26, 47, 94, 611, 1222. Its prime factorization can be written as 2 × 13 × 47. 1222 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1222 is represented as 10011000110 in binary and 4C6 in hexadecimal. Historically, it is written as MCCXXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 47) reveals 3 prime building blocks.
Divisible by 2
1222 ends in 2, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
1222 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 7 is not a multiple of 9.
Divisible by 10
1222 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 1222 within several notable number theory sequences:
Timeline
Deep dive
How 1222 breaks down
1222 carries 8 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 794, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011000110 supports bitwise reasoning, hexadecimal 4C6 aligns with computing notation, and the Roman numeral MCCXXII keeps the encyclopedic tradition alive. These attributes make 1222 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1222 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1217–1227) to tune search ranges, and educators feature 1222 in worksheets about factor trees. Its binary footprint of length 11 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 1222 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 1222
Is 1222 a prime number?
1222 is composite with 8 total factors and the prime factorization 2 × 13 × 47.
What is the prime factorization of 1222?
It breaks down as 2 × 13 × 47, multiplying the primes 2 × 13 × 47.
How is 1222 represented in binary and hexadecimal?
1222 converts to 10011000110 in binary and 4C6 in hexadecimal, which are helpful for computer science applications.
Is 1222 a perfect square, cube, or triangular number?
1222 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1222?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.