1322
1322 is a even composite number that follows 1321 and precedes 1323. It is composed of 4 distinct factors: 1, 2, 661, 1322. Its prime factorization can be written as 2 × 661. 1322 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1322 is represented as 10100101010 in binary and 52A in hexadecimal. Historically, it is written as MCCCXXII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 661) reveals 2 prime building blocks.
Divisible by 2
1322 ends in 2, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
1322 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 8 is not a multiple of 9.
Divisible by 10
1322 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 1322 within several notable number theory sequences:
Timeline
Deep dive
How 1322 breaks down
1322 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 664, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100101010 supports bitwise reasoning, hexadecimal 52A aligns with computing notation, and the Roman numeral MCCCXXII keeps the encyclopedic tradition alive. These attributes make 1322 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1322 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1317–1327) to tune search ranges, and educators feature 1322 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 1322 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 1322
Is 1322 a prime number?
1322 is composite with 4 total factors and the prime factorization 2 × 661.
What is the prime factorization of 1322?
It breaks down as 2 × 661, multiplying the primes 2 × 661.
How is 1322 represented in binary and hexadecimal?
1322 converts to 10100101010 in binary and 52A in hexadecimal, which are helpful for computer science applications.
Is 1322 a perfect square, cube, or triangular number?
1322 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1322?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.