3427
3427 is a odd composite number that follows 3426 and precedes 3428. It is composed of 4 distinct factors: 1, 23, 149, 3427. Its prime factorization can be written as 23 × 149. 3427 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3427 is represented as 110101100011 in binary and D63 in hexadecimal. Historically, it is written as MMMCDXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 149) reveals 2 prime building blocks.
Divisible by 2
3427 ends in 7, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
3427 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 16 is not a multiple of 9.
Divisible by 10
3427 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 3427 within several notable number theory sequences:
Timeline
Deep dive
How 3427 breaks down
3427 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 173, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101100011 supports bitwise reasoning, hexadecimal D63 aligns with computing notation, and the Roman numeral MMMCDXXVII keeps the encyclopedic tradition alive. These attributes make 3427 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3427 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3422–3432) to tune search ranges, and educators feature 3427 in worksheets about factor trees. Its binary footprint of length 12 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 3427 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 3427
Is 3427 a prime number?
3427 is composite with 4 total factors and the prime factorization 23 × 149.
What is the prime factorization of 3427?
It breaks down as 23 × 149, multiplying the primes 23 × 149.
How is 3427 represented in binary and hexadecimal?
3427 converts to 110101100011 in binary and D63 in hexadecimal, which are helpful for computer science applications.
Is 3427 a perfect square, cube, or triangular number?
3427 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3427?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.