3413
3413 is a odd prime number that follows 3412 and precedes 3414. As a prime number, 3413 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3413. 3413 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3413 is represented as 110101010101 in binary and D55 in hexadecimal. Historically, it is written as MMMCDXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
3413 is prime, so its only factors are 1 and 3413.
Divisible by 2
3413 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
3413 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 11 is not a multiple of 9.
Divisible by 10
3413 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 3413 within several notable number theory sequences:
Timeline
Deep dive
How 3413 breaks down
3413 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101010101 supports bitwise reasoning, hexadecimal D55 aligns with computing notation, and the Roman numeral MMMCDXIII keeps the encyclopedic tradition alive. These attributes make 3413 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3413 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3408–3418) to tune search ranges, and educators feature 3413 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3413 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 3413
Is 3413 a prime number?
3413 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3413?
3413 is already prime, so the factorization is simply 3413.
How is 3413 represented in binary and hexadecimal?
3413 converts to 110101010101 in binary and D55 in hexadecimal, which are helpful for computer science applications.
Is 3413 a perfect square, cube, or triangular number?
3413 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3413?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.