3501
3501 is a odd composite number that follows 3500 and precedes 3502. It is composed of 6 distinct factors: 1, 3, 9, 389, 1167, 3501. Its prime factorization can be written as 3^2 × 389. 3501 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3501 is represented as 110110101101 in binary and DAD in hexadecimal. Historically, it is written as MMMDI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 389) reveals 3 prime building blocks.
Divisible by 2
3501 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
3501 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 9 is a multiple of 9.
Divisible by 10
3501 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 3501 within several notable number theory sequences:
Timeline
Deep dive
How 3501 breaks down
3501 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1569, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110101101 supports bitwise reasoning, hexadecimal DAD aligns with computing notation, and the Roman numeral MMMDI keeps the encyclopedic tradition alive. These attributes make 3501 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3501 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3496–3506) to tune search ranges, and educators feature 3501 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 3501 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 3501
Is 3501 a prime number?
3501 is composite with 6 total factors and the prime factorization 3^2 × 389.
What is the prime factorization of 3501?
It breaks down as 3^2 × 389, multiplying the primes 3 × 3 × 389.
How is 3501 represented in binary and hexadecimal?
3501 converts to 110110101101 in binary and DAD in hexadecimal, which are helpful for computer science applications.
Is 3501 a perfect square, cube, or triangular number?
3501 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3501?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.