734
734 is a even composite number that follows 733 and precedes 735. It is composed of 4 distinct factors: 1, 2, 367, 734. Its prime factorization can be written as 2 × 367. 734 is classified as a deficient number based on the sum of its proper divisors. In computer science, 734 is represented as 1011011110 in binary and 2DE in hexadecimal. Historically, it is written as DCCXXXIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 367) reveals 2 prime building blocks.
Divisible by 2
734 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 34 are not divisible by 4.
Divisible by 5
734 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 14 is not a multiple of 9.
Divisible by 10
734 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 734 within several notable number theory sequences:
Timeline
Deep dive
How 734 breaks down
734 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 370, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011011110 supports bitwise reasoning, hexadecimal 2DE aligns with computing notation, and the Roman numeral DCCXXXIV keeps the encyclopedic tradition alive. These attributes make 734 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 734 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (729–739) to tune search ranges, and educators feature 734 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, Deficient numbers) help historians, numerologists, and trivia writers tie 734 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 734
Is 734 a prime number?
734 is composite with 4 total factors and the prime factorization 2 × 367.
What is the prime factorization of 734?
It breaks down as 2 × 367, multiplying the primes 2 × 367.
How is 734 represented in binary and hexadecimal?
734 converts to 1011011110 in binary and 2DE in hexadecimal, which are helpful for computer science applications.
Is 734 a perfect square, cube, or triangular number?
734 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 734?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.