738
738 is a even composite number that follows 737 and precedes 739. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. Its prime factorization can be written as 2 × 3^2 × 41. 738 is classified as a abundant number based on the sum of its proper divisors. In computer science, 738 is represented as 1011100010 in binary and 2E2 in hexadecimal. Historically, it is written as DCCXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 41) reveals 4 prime building blocks.
Divisible by 2
738 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
738 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
738 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Abundant classification and digit analytics place 738 within several notable number theory sequences:
Timeline
Deep dive
How 738 breaks down
738 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 900, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100010 supports bitwise reasoning, hexadecimal 2E2 aligns with computing notation, and the Roman numeral DCCXXXVIII keeps the encyclopedic tradition alive. These attributes make 738 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 738 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (733–743) to tune search ranges, and educators feature 738 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 738 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 738
Is 738 a prime number?
738 is composite with 12 total factors and the prime factorization 2 × 3^2 × 41.
What is the prime factorization of 738?
It breaks down as 2 × 3^2 × 41, multiplying the primes 2 × 3 × 3 × 41.
How is 738 represented in binary and hexadecimal?
738 converts to 1011100010 in binary and 2E2 in hexadecimal, which are helpful for computer science applications.
Is 738 a perfect square, cube, or triangular number?
738 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 738?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.