1342
1342 is a even composite number that follows 1341 and precedes 1343. It is composed of 8 distinct factors: 1, 2, 11, 22, 61, 122, 671, 1342. Its prime factorization can be written as 2 × 11 × 61. 1342 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1342 is represented as 10100111110 in binary and 53E in hexadecimal. Historically, it is written as MCCCXLII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 11 × 61) reveals 3 prime building blocks.
Divisible by 2
1342 ends in 2, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
1342 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 10 is not a multiple of 9.
Divisible by 10
1342 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1342 within several notable number theory sequences:
Timeline
Deep dive
How 1342 breaks down
1342 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 890, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100111110 supports bitwise reasoning, hexadecimal 53E aligns with computing notation, and the Roman numeral MCCCXLII keeps the encyclopedic tradition alive. These attributes make 1342 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1342 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1337–1347) to tune search ranges, and educators feature 1342 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 1342 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 1342
Is 1342 a prime number?
1342 is composite with 8 total factors and the prime factorization 2 × 11 × 61.
What is the prime factorization of 1342?
It breaks down as 2 × 11 × 61, multiplying the primes 2 × 11 × 61.
How is 1342 represented in binary and hexadecimal?
1342 converts to 10100111110 in binary and 53E in hexadecimal, which are helpful for computer science applications.
Is 1342 a perfect square, cube, or triangular number?
1342 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1342?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.