1438
1438 is a even composite number that follows 1437 and precedes 1439. It is composed of 4 distinct factors: 1, 2, 719, 1438. Its prime factorization can be written as 2 × 719. 1438 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1438 is represented as 10110011110 in binary and 59E in hexadecimal. Historically, it is written as MCDXXXVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 719) reveals 2 prime building blocks.
Divisible by 2
1438 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
1438 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
1438 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 1438 within several notable number theory sequences:
Timeline
Deep dive
How 1438 breaks down
1438 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 722, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110011110 supports bitwise reasoning, hexadecimal 59E aligns with computing notation, and the Roman numeral MCDXXXVIII keeps the encyclopedic tradition alive. These attributes make 1438 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1438 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1433–1443) to tune search ranges, and educators feature 1438 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 1438 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 1438
Is 1438 a prime number?
1438 is composite with 4 total factors and the prime factorization 2 × 719.
What is the prime factorization of 1438?
It breaks down as 2 × 719, multiplying the primes 2 × 719.
How is 1438 represented in binary and hexadecimal?
1438 converts to 10110011110 in binary and 59E in hexadecimal, which are helpful for computer science applications.
Is 1438 a perfect square, cube, or triangular number?
1438 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1438?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.