2502
2502 is a even composite number that follows 2501 and precedes 2503. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. Its prime factorization can be written as 2 × 3^2 × 139. 2502 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2502 is represented as 100111000110 in binary and 9C6 in hexadecimal. Historically, it is written as MMDII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 139) reveals 4 prime building blocks.
Divisible by 2
2502 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
2502 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
2502 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 2502 within several notable number theory sequences:
Timeline
Deep dive
How 2502 breaks down
2502 carries 12 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2958, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111000110 supports bitwise reasoning, hexadecimal 9C6 aligns with computing notation, and the Roman numeral MMDII keeps the encyclopedic tradition alive. These attributes make 2502 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2502 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2497–2507) to tune search ranges, and educators feature 2502 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 2502 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 2502
Is 2502 a prime number?
2502 is composite with 12 total factors and the prime factorization 2 × 3^2 × 139.
What is the prime factorization of 2502?
It breaks down as 2 × 3^2 × 139, multiplying the primes 2 × 3 × 3 × 139.
How is 2502 represented in binary and hexadecimal?
2502 converts to 100111000110 in binary and 9C6 in hexadecimal, which are helpful for computer science applications.
Is 2502 a perfect square, cube, or triangular number?
2502 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2502?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.