7342
7342 is a even composite number that follows 7341 and precedes 7343. It is composed of 4 distinct factors: 1, 2, 3671, 7342. Its prime factorization can be written as 2 × 3671. 7342 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7342 is represented as 1110010101110 in binary and 1CAE in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 3671) reveals 2 prime building blocks.
Divisible by 2
7342 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
7342 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 16 is not a multiple of 9.
Divisible by 10
7342 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 7342 within several notable number theory sequences:
Timeline
Deep dive
How 7342 breaks down
7342 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 3674, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110010101110 supports bitwise reasoning, hexadecimal 1CAE aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7342 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7342 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7337–7347) to tune search ranges, and educators feature 7342 in worksheets about factor trees. Its binary footprint of length 13 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 7342 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 7342
Is 7342 a prime number?
7342 is composite with 4 total factors and the prime factorization 2 × 3671.
What is the prime factorization of 7342?
It breaks down as 2 × 3671, multiplying the primes 2 × 3671.
How is 7342 represented in binary and hexadecimal?
7342 converts to 1110010101110 in binary and 1CAE in hexadecimal, which are helpful for computer science applications.
Is 7342 a perfect square, cube, or triangular number?
7342 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7342?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.