3500
3500 is a even composite number that follows 3499 and precedes 3501. It is composed of 24 distinct factors: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500. Its prime factorization can be written as 2^2 × 5^3 × 7. 3500 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3500 is represented as 110110101100 in binary and DAC in hexadecimal. Historically, it is written as MMMD in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5^3 × 7) reveals 6 prime building blocks.
Divisible by 2
3500 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
3500 ends in 0, 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 8 is not a multiple of 9.
Divisible by 10
3500 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 3500 within several notable number theory sequences:
Timeline
Deep dive
How 3500 breaks down
3500 carries 24 distinct factors and a digit signature of 8 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 5236, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110101100 supports bitwise reasoning, hexadecimal DAC aligns with computing notation, and the Roman numeral MMMD keeps the encyclopedic tradition alive. These attributes make 3500 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3500 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3495–3505) to tune search ranges, and educators feature 3500 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3500 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 3500
Is 3500 a prime number?
3500 is composite with 24 total factors and the prime factorization 2^2 × 5^3 × 7.
What is the prime factorization of 3500?
It breaks down as 2^2 × 5^3 × 7, multiplying the primes 2 × 2 × 5 × 5 × 5 × 7.
How is 3500 represented in binary and hexadecimal?
3500 converts to 110110101100 in binary and DAC in hexadecimal, which are helpful for computer science applications.
Is 3500 a perfect square, cube, or triangular number?
3500 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3500?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.