3401
3401 is a odd composite number that follows 3400 and precedes 3402. It is composed of 4 distinct factors: 1, 19, 179, 3401. Its prime factorization can be written as 19 × 179. 3401 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3401 is represented as 110101001001 in binary and D49 in hexadecimal. Historically, it is written as MMMCDI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 179) reveals 2 prime building blocks.
Divisible by 2
3401 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
3401 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
3401 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 3401 within several notable number theory sequences:
Timeline
Deep dive
How 3401 breaks down
3401 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 199, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101001001 supports bitwise reasoning, hexadecimal D49 aligns with computing notation, and the Roman numeral MMMCDI keeps the encyclopedic tradition alive. These attributes make 3401 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3401 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3396–3406) to tune search ranges, and educators feature 3401 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 3401 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 3401
Is 3401 a prime number?
3401 is composite with 4 total factors and the prime factorization 19 × 179.
What is the prime factorization of 3401?
It breaks down as 19 × 179, multiplying the primes 19 × 179.
How is 3401 represented in binary and hexadecimal?
3401 converts to 110101001001 in binary and D49 in hexadecimal, which are helpful for computer science applications.
Is 3401 a perfect square, cube, or triangular number?
3401 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3401?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.