3478
3478 is a even composite number that follows 3477 and precedes 3479. It is composed of 8 distinct factors: 1, 2, 37, 47, 74, 94, 1739, 3478. Its prime factorization can be written as 2 × 37 × 47. 3478 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3478 is represented as 110110010110 in binary and D96 in hexadecimal. Historically, it is written as MMMCDLXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 37 × 47) reveals 3 prime building blocks.
Divisible by 2
3478 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 78 are not divisible by 4.
Divisible by 5
3478 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 22 is not a multiple of 9.
Divisible by 10
3478 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3478 within several notable number theory sequences:
Timeline
Deep dive
How 3478 breaks down
3478 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1994, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110010110 supports bitwise reasoning, hexadecimal D96 aligns with computing notation, and the Roman numeral MMMCDLXXVIII keeps the encyclopedic tradition alive. These attributes make 3478 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3478 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3473–3483) to tune search ranges, and educators feature 3478 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 3478 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 3478
Is 3478 a prime number?
3478 is composite with 8 total factors and the prime factorization 2 × 37 × 47.
What is the prime factorization of 3478?
It breaks down as 2 × 37 × 47, multiplying the primes 2 × 37 × 47.
How is 3478 represented in binary and hexadecimal?
3478 converts to 110110010110 in binary and D96 in hexadecimal, which are helpful for computer science applications.
Is 3478 a perfect square, cube, or triangular number?
3478 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3478?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.