732
732 is a even composite number that follows 731 and precedes 733. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. Its prime factorization can be written as 2^2 × 3 × 61. 732 is classified as a abundant number based on the sum of its proper divisors. In computer science, 732 is represented as 1011011100 in binary and 2DC in hexadecimal. Historically, it is written as DCCXXXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 61) reveals 4 prime building blocks.
Divisible by 2
732 ends in 2, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 32 form a multiple of 4.
Divisible by 5
732 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 12 is not a multiple of 9.
Divisible by 10
732 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 732 within several notable number theory sequences:
Timeline
Deep dive
How 732 breaks down
732 carries 12 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1004, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011011100 supports bitwise reasoning, hexadecimal 2DC aligns with computing notation, and the Roman numeral DCCXXXII keeps the encyclopedic tradition alive. These attributes make 732 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 732 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (727–737) to tune search ranges, and educators feature 732 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 732 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 732
Is 732 a prime number?
732 is composite with 12 total factors and the prime factorization 2^2 × 3 × 61.
What is the prime factorization of 732?
It breaks down as 2^2 × 3 × 61, multiplying the primes 2 × 2 × 3 × 61.
How is 732 represented in binary and hexadecimal?
732 converts to 1011011100 in binary and 2DC in hexadecimal, which are helpful for computer science applications.
Is 732 a perfect square, cube, or triangular number?
732 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 732?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.