3495
3495 is a odd composite number that follows 3494 and precedes 3496. It is composed of 8 distinct factors: 1, 3, 5, 15, 233, 699, 1165, 3495. Its prime factorization can be written as 3 × 5 × 233. 3495 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3495 is represented as 110110100111 in binary and DA7 in hexadecimal. Historically, it is written as MMMCDXCV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 5 × 233) reveals 3 prime building blocks.
Divisible by 2
3495 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
3495 ends in 5, 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 21 is not a multiple of 9.
Divisible by 10
3495 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 3495 within several notable number theory sequences:
Timeline
Deep dive
How 3495 breaks down
3495 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 2121, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110100111 supports bitwise reasoning, hexadecimal DA7 aligns with computing notation, and the Roman numeral MMMCDXCV keeps the encyclopedic tradition alive. These attributes make 3495 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3495 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3490–3500) to tune search ranges, and educators feature 3495 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 3495 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 3495
Is 3495 a prime number?
3495 is composite with 8 total factors and the prime factorization 3 × 5 × 233.
What is the prime factorization of 3495?
It breaks down as 3 × 5 × 233, multiplying the primes 3 × 5 × 233.
How is 3495 represented in binary and hexadecimal?
3495 converts to 110110100111 in binary and DA7 in hexadecimal, which are helpful for computer science applications.
Is 3495 a perfect square, cube, or triangular number?
3495 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3495?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.