2450
2450 is a even composite number that follows 2449 and precedes 2451. It is composed of 18 distinct factors: 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. Its prime factorization can be written as 2 × 5^2 × 7^2. 2450 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2450 is represented as 100110010010 in binary and 992 in hexadecimal. Historically, it is written as MMCDL in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2 × 5^2 × 7^2) reveals 5 prime building blocks.
Divisible by 2
2450 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
2450 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 11 is not a multiple of 9.
Divisible by 10
2450 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 2450 within several notable number theory sequences:
Timeline
Deep dive
How 2450 breaks down
2450 carries 18 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 2851, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110010010 supports bitwise reasoning, hexadecimal 992 aligns with computing notation, and the Roman numeral MMCDL keeps the encyclopedic tradition alive. These attributes make 2450 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2450 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2445–2455) to tune search ranges, and educators feature 2450 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 2450 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 2450
Is 2450 a prime number?
2450 is composite with 18 total factors and the prime factorization 2 × 5^2 × 7^2.
What is the prime factorization of 2450?
It breaks down as 2 × 5^2 × 7^2, multiplying the primes 2 × 5 × 5 × 7 × 7.
How is 2450 represented in binary and hexadecimal?
2450 converts to 100110010010 in binary and 992 in hexadecimal, which are helpful for computer science applications.
Is 2450 a perfect square, cube, or triangular number?
2450 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2450?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.