3499
3499 is a odd prime number that follows 3498 and precedes 3500. As a prime number, 3499 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3499. 3499 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3499 is represented as 110110101011 in binary and DAB in hexadecimal. Historically, it is written as MMMCDXCIX in Roman numerals.
Factor Analysis
2 FactorsProperties
3499 is prime, so its only factors are 1 and 3499.
Divisible by 2
3499 ends in 9, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 99 are not divisible by 4.
Divisible by 5
3499 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 25 is not a multiple of 9.
Divisible by 10
3499 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3499 within several notable number theory sequences:
Timeline
Deep dive
How 3499 breaks down
3499 carries 2 distinct factors and a digit signature of 25 (7 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 110110101011 supports bitwise reasoning, hexadecimal DAB aligns with computing notation, and the Roman numeral MMMCDXCIX keeps the encyclopedic tradition alive. These attributes make 3499 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3499 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3494–3504) to tune search ranges, and educators feature 3499 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 3499 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 3499
Is 3499 a prime number?
3499 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3499?
3499 is already prime, so the factorization is simply 3499.
How is 3499 represented in binary and hexadecimal?
3499 converts to 110110101011 in binary and DAB in hexadecimal, which are helpful for computer science applications.
Is 3499 a perfect square, cube, or triangular number?
3499 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3499?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.