332
332 is a even composite number that follows 331 and precedes 333. It is composed of 6 distinct factors: 1, 2, 4, 83, 166, 332. Its prime factorization can be written as 2^2 × 83. 332 is classified as a deficient number based on the sum of its proper divisors. In computer science, 332 is represented as 101001100 in binary and 14C in hexadecimal. Historically, it is written as CCCXXXII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 83) reveals 3 prime building blocks.
Divisible by 2
332 ends in 2, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 32 form a multiple of 4.
Divisible by 5
332 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 8 is not a multiple of 9.
Divisible by 10
332 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 332 within several notable number theory sequences:
Timeline
Deep dive
How 332 breaks down
332 carries 6 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 256, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001100 supports bitwise reasoning, hexadecimal 14C aligns with computing notation, and the Roman numeral CCCXXXII keeps the encyclopedic tradition alive. These attributes make 332 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 332 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (327–337) to tune search ranges, and educators feature 332 in worksheets about factor trees. Its binary footprint of length 9 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 332 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 332
Is 332 a prime number?
332 is composite with 6 total factors and the prime factorization 2^2 × 83.
What is the prime factorization of 332?
It breaks down as 2^2 × 83, multiplying the primes 2 × 2 × 83.
How is 332 represented in binary and hexadecimal?
332 converts to 101001100 in binary and 14C in hexadecimal, which are helpful for computer science applications.
Is 332 a perfect square, cube, or triangular number?
332 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 332?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.