2525
2525 is a odd composite number that follows 2524 and precedes 2526. It is composed of 6 distinct factors: 1, 5, 25, 101, 505, 2525. Its prime factorization can be written as 5^2 × 101. 2525 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2525 is represented as 100111011101 in binary and 9DD in hexadecimal. Historically, it is written as MMDXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 101) reveals 3 prime building blocks.
Divisible by 2
2525 ends in 5, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
2525 ends in 5, 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 14 is not a multiple of 9.
Divisible by 10
2525 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2525 within several notable number theory sequences:
Timeline
Deep dive
How 2525 breaks down
2525 carries 6 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 637, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111011101 supports bitwise reasoning, hexadecimal 9DD aligns with computing notation, and the Roman numeral MMDXXV keeps the encyclopedic tradition alive. These attributes make 2525 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2525 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2520–2530) to tune search ranges, and educators feature 2525 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 2525 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 2525
Is 2525 a prime number?
2525 is composite with 6 total factors and the prime factorization 5^2 × 101.
What is the prime factorization of 2525?
It breaks down as 5^2 × 101, multiplying the primes 5 × 5 × 101.
How is 2525 represented in binary and hexadecimal?
2525 converts to 100111011101 in binary and 9DD in hexadecimal, which are helpful for computer science applications.
Is 2525 a perfect square, cube, or triangular number?
2525 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2525?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.