3475
3475 is a odd composite number that follows 3474 and precedes 3476. It is composed of 6 distinct factors: 1, 5, 25, 139, 695, 3475. Its prime factorization can be written as 5^2 × 139. 3475 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3475 is represented as 110110010011 in binary and D93 in hexadecimal. Historically, it is written as MMMCDLXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 139) reveals 3 prime building blocks.
Divisible by 2
3475 ends in 5, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
3475 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 19 is not a multiple of 9.
Divisible by 10
3475 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 3475 within several notable number theory sequences:
Timeline
Deep dive
How 3475 breaks down
3475 carries 6 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 865, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110010011 supports bitwise reasoning, hexadecimal D93 aligns with computing notation, and the Roman numeral MMMCDLXXV keeps the encyclopedic tradition alive. These attributes make 3475 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3475 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3470–3480) to tune search ranges, and educators feature 3475 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 3475 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 3475
Is 3475 a prime number?
3475 is composite with 6 total factors and the prime factorization 5^2 × 139.
What is the prime factorization of 3475?
It breaks down as 5^2 × 139, multiplying the primes 5 × 5 × 139.
How is 3475 represented in binary and hexadecimal?
3475 converts to 110110010011 in binary and D93 in hexadecimal, which are helpful for computer science applications.
Is 3475 a perfect square, cube, or triangular number?
3475 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3475?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.