3490
3490 is a even composite number that follows 3489 and precedes 3491. It is composed of 8 distinct factors: 1, 2, 5, 10, 349, 698, 1745, 3490. Its prime factorization can be written as 2 × 5 × 349. 3490 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3490 is represented as 110110100010 in binary and DA2 in hexadecimal. Historically, it is written as MMMCDXC in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 349) reveals 3 prime building blocks.
Divisible by 2
3490 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
3490 ends in 0, so it is divisible by 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
3490 ends in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 3490 within several notable number theory sequences:
Timeline
Deep dive
How 3490 breaks down
3490 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2810, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110100010 supports bitwise reasoning, hexadecimal DA2 aligns with computing notation, and the Roman numeral MMMCDXC keeps the encyclopedic tradition alive. These attributes make 3490 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3490 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3485–3495) to tune search ranges, and educators feature 3490 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 3490 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 3490
Is 3490 a prime number?
3490 is composite with 8 total factors and the prime factorization 2 × 5 × 349.
What is the prime factorization of 3490?
It breaks down as 2 × 5 × 349, multiplying the primes 2 × 5 × 349.
How is 3490 represented in binary and hexadecimal?
3490 converts to 110110100010 in binary and DA2 in hexadecimal, which are helpful for computer science applications.
Is 3490 a perfect square, cube, or triangular number?
3490 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3490?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.