3403
3403 is a odd composite number that follows 3402 and precedes 3404. It is composed of 4 distinct factors: 1, 41, 83, 3403. Its prime factorization can be written as 41 × 83. 3403 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3403 is represented as 110101001011 in binary and D4B in hexadecimal. Historically, it is written as MMMCDIII in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 83) reveals 2 prime building blocks.
Divisible by 2
3403 ends in 3, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 03 are not divisible by 4.
Divisible by 5
3403 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 10 is not a multiple of 9.
Divisible by 10
3403 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 3403 within several notable number theory sequences:
Timeline
Deep dive
How 3403 breaks down
3403 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 125, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101001011 supports bitwise reasoning, hexadecimal D4B aligns with computing notation, and the Roman numeral MMMCDIII keeps the encyclopedic tradition alive. These attributes make 3403 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3403 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3398–3408) to tune search ranges, and educators feature 3403 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, Triangular numbers) help historians, numerologists, and trivia writers tie 3403 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 3403
Is 3403 a prime number?
3403 is composite with 4 total factors and the prime factorization 41 × 83.
What is the prime factorization of 3403?
It breaks down as 41 × 83, multiplying the primes 41 × 83.
How is 3403 represented in binary and hexadecimal?
3403 converts to 110101001011 in binary and D4B in hexadecimal, which are helpful for computer science applications.
Is 3403 a perfect square, cube, or triangular number?
3403 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 3403?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.