2738
2738 is a even composite number that follows 2737 and precedes 2739. It is composed of 6 distinct factors: 1, 2, 37, 74, 1369, 2738. Its prime factorization can be written as 2 × 37^2. 2738 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2738 is represented as 101010110010 in binary and AB2 in hexadecimal. Historically, it is written as MMDCCXXXVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2 × 37^2) reveals 3 prime building blocks.
Divisible by 2
2738 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
2738 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 20 is not a multiple of 9.
Divisible by 10
2738 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 2738 within several notable number theory sequences:
Timeline
Deep dive
How 2738 breaks down
2738 carries 6 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1483, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010110010 supports bitwise reasoning, hexadecimal AB2 aligns with computing notation, and the Roman numeral MMDCCXXXVIII keeps the encyclopedic tradition alive. These attributes make 2738 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2738 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2733–2743) to tune search ranges, and educators feature 2738 in worksheets about factor trees. Its binary footprint of length 12 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 2738 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 2738
Is 2738 a prime number?
2738 is composite with 6 total factors and the prime factorization 2 × 37^2.
What is the prime factorization of 2738?
It breaks down as 2 × 37^2, multiplying the primes 2 × 37 × 37.
How is 2738 represented in binary and hexadecimal?
2738 converts to 101010110010 in binary and AB2 in hexadecimal, which are helpful for computer science applications.
Is 2738 a perfect square, cube, or triangular number?
2738 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2738?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.