134
134 is a even composite number that follows 133 and precedes 135. It is composed of 4 distinct factors: 1, 2, 67, 134. Its prime factorization can be written as 2 × 67. 134 is classified as a deficient number based on the sum of its proper divisors. In computer science, 134 is represented as 10000110 in binary and 86 in hexadecimal. Historically, it is written as CXXXIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 67) reveals 2 prime building blocks.
Divisible by 2
134 ends in 4, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 34 are not divisible by 4.
Divisible by 5
134 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
134 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 134 within several notable number theory sequences:
Timeline
Deep dive
How 134 breaks down
134 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 70, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000110 supports bitwise reasoning, hexadecimal 86 aligns with computing notation, and the Roman numeral CXXXIV keeps the encyclopedic tradition alive. These attributes make 134 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 134 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (129–139) to tune search ranges, and educators feature 134 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, Deficient numbers) help historians, numerologists, and trivia writers tie 134 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 134
Is 134 a prime number?
134 is composite with 4 total factors and the prime factorization 2 × 67.
What is the prime factorization of 134?
It breaks down as 2 × 67, multiplying the primes 2 × 67.
How is 134 represented in binary and hexadecimal?
134 converts to 10000110 in binary and 86 in hexadecimal, which are helpful for computer science applications.
Is 134 a perfect square, cube, or triangular number?
134 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 134?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.