1343
1343 is a odd composite number that follows 1342 and precedes 1344. It is composed of 4 distinct factors: 1, 17, 79, 1343. Its prime factorization can be written as 17 × 79. 1343 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1343 is represented as 10100111111 in binary and 53F in hexadecimal. Historically, it is written as MCCCXLIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 79) reveals 2 prime building blocks.
Divisible by 2
1343 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
1343 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 11 is not a multiple of 9.
Divisible by 10
1343 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 1343 within several notable number theory sequences:
Timeline
Deep dive
How 1343 breaks down
1343 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 97, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100111111 supports bitwise reasoning, hexadecimal 53F aligns with computing notation, and the Roman numeral MCCCXLIII keeps the encyclopedic tradition alive. These attributes make 1343 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1343 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1338–1348) to tune search ranges, and educators feature 1343 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 1343 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 1343
Is 1343 a prime number?
1343 is composite with 4 total factors and the prime factorization 17 × 79.
What is the prime factorization of 1343?
It breaks down as 17 × 79, multiplying the primes 17 × 79.
How is 1343 represented in binary and hexadecimal?
1343 converts to 10100111111 in binary and 53F in hexadecimal, which are helpful for computer science applications.
Is 1343 a perfect square, cube, or triangular number?
1343 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1343?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.