3250
3250 is a even composite number that follows 3249 and precedes 3251. It is composed of 16 distinct factors: 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250. Its prime factorization can be written as 2 × 5^3 × 13. 3250 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3250 is represented as 110010110010 in binary and CB2 in hexadecimal. Historically, it is written as MMMCCL in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5^3 × 13) reveals 5 prime building blocks.
Divisible by 2
3250 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
3250 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 10 is not a multiple of 9.
Divisible by 10
3250 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 3250 within several notable number theory sequences:
Timeline
Deep dive
How 3250 breaks down
3250 carries 16 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 3302, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010110010 supports bitwise reasoning, hexadecimal CB2 aligns with computing notation, and the Roman numeral MMMCCL keeps the encyclopedic tradition alive. These attributes make 3250 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3250 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3245–3255) to tune search ranges, and educators feature 3250 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 3250 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 3250
Is 3250 a prime number?
3250 is composite with 16 total factors and the prime factorization 2 × 5^3 × 13.
What is the prime factorization of 3250?
It breaks down as 2 × 5^3 × 13, multiplying the primes 2 × 5 × 5 × 5 × 13.
How is 3250 represented in binary and hexadecimal?
3250 converts to 110010110010 in binary and CB2 in hexadecimal, which are helpful for computer science applications.
Is 3250 a perfect square, cube, or triangular number?
3250 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3250?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.