3437
3437 is a odd composite number that follows 3436 and precedes 3438. It is composed of 4 distinct factors: 1, 7, 491, 3437. Its prime factorization can be written as 7 × 491. 3437 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3437 is represented as 110101101101 in binary and D6D in hexadecimal. Historically, it is written as MMMCDXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 491) reveals 2 prime building blocks.
Divisible by 2
3437 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
3437 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
3437 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 3437 within several notable number theory sequences:
Timeline
Deep dive
How 3437 breaks down
3437 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 499, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101101101 supports bitwise reasoning, hexadecimal D6D aligns with computing notation, and the Roman numeral MMMCDXXXVII keeps the encyclopedic tradition alive. These attributes make 3437 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3437 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3432–3442) to tune search ranges, and educators feature 3437 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 3437 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 3437
Is 3437 a prime number?
3437 is composite with 4 total factors and the prime factorization 7 × 491.
What is the prime factorization of 3437?
It breaks down as 7 × 491, multiplying the primes 7 × 491.
How is 3437 represented in binary and hexadecimal?
3437 converts to 110101101101 in binary and D6D in hexadecimal, which are helpful for computer science applications.
Is 3437 a perfect square, cube, or triangular number?
3437 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3437?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.