7438
7438 is a even composite number that follows 7437 and precedes 7439. It is composed of 4 distinct factors: 1, 2, 3719, 7438. Its prime factorization can be written as 2 × 3719. 7438 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7438 is represented as 1110100001110 in binary and 1D0E in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 3719) reveals 2 prime building blocks.
Divisible by 2
7438 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
7438 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 22 is not a multiple of 9.
Divisible by 10
7438 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 7438 within several notable number theory sequences:
Timeline
Deep dive
How 7438 breaks down
7438 carries 4 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 3722, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110100001110 supports bitwise reasoning, hexadecimal 1D0E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7438 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7438 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7433–7443) to tune search ranges, and educators feature 7438 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 7438 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 7438
Is 7438 a prime number?
7438 is composite with 4 total factors and the prime factorization 2 × 3719.
What is the prime factorization of 7438?
It breaks down as 2 × 3719, multiplying the primes 2 × 3719.
How is 7438 represented in binary and hexadecimal?
7438 converts to 1110100001110 in binary and 1D0E in hexadecimal, which are helpful for computer science applications.
Is 7438 a perfect square, cube, or triangular number?
7438 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7438?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.