3473
3473 is a odd composite number that follows 3472 and precedes 3474. It is composed of 4 distinct factors: 1, 23, 151, 3473. Its prime factorization can be written as 23 × 151. 3473 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3473 is represented as 110110010001 in binary and D91 in hexadecimal. Historically, it is written as MMMCDLXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 151) reveals 2 prime building blocks.
Divisible by 2
3473 ends in 3, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
3473 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 17 is not a multiple of 9.
Divisible by 10
3473 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 3473 within several notable number theory sequences:
Timeline
Deep dive
How 3473 breaks down
3473 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 175, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110010001 supports bitwise reasoning, hexadecimal D91 aligns with computing notation, and the Roman numeral MMMCDLXXIII keeps the encyclopedic tradition alive. These attributes make 3473 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3473 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3468–3478) to tune search ranges, and educators feature 3473 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 3473 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 3473
Is 3473 a prime number?
3473 is composite with 4 total factors and the prime factorization 23 × 151.
What is the prime factorization of 3473?
It breaks down as 23 × 151, multiplying the primes 23 × 151.
How is 3473 represented in binary and hexadecimal?
3473 converts to 110110010001 in binary and D91 in hexadecimal, which are helpful for computer science applications.
Is 3473 a perfect square, cube, or triangular number?
3473 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3473?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.