132
132 is a even composite number that follows 131 and precedes 133. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. Its prime factorization can be written as 2^2 × 3 × 11. 132 is classified as a abundant number based on the sum of its proper divisors. In computer science, 132 is represented as 10000100 in binary and 84 in hexadecimal. Historically, it is written as CXXXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 11) reveals 4 prime building blocks.
Divisible by 2
132 ends in 2, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 32 form a multiple of 4.
Divisible by 5
132 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 6 is not a multiple of 9.
Divisible by 10
132 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 132 within several notable number theory sequences:
Timeline
Deep dive
How 132 breaks down
132 carries 12 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 204, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000100 supports bitwise reasoning, hexadecimal 84 aligns with computing notation, and the Roman numeral CXXXII keeps the encyclopedic tradition alive. These attributes make 132 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 132 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (127–137) to tune search ranges, and educators feature 132 in worksheets about factor trees. Its binary footprint of length 8 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 132 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 132
Is 132 a prime number?
132 is composite with 12 total factors and the prime factorization 2^2 × 3 × 11.
What is the prime factorization of 132?
It breaks down as 2^2 × 3 × 11, multiplying the primes 2 × 2 × 3 × 11.
How is 132 represented in binary and hexadecimal?
132 converts to 10000100 in binary and 84 in hexadecimal, which are helpful for computer science applications.
Is 132 a perfect square, cube, or triangular number?
132 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 132?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.