2523
2523 is a odd composite number that follows 2522 and precedes 2524. It is composed of 6 distinct factors: 1, 3, 29, 87, 841, 2523. Its prime factorization can be written as 3 × 29^2. 2523 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2523 is represented as 100111011011 in binary and 9DB in hexadecimal. Historically, it is written as MMDXXIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3 × 29^2) reveals 3 prime building blocks.
Divisible by 2
2523 ends in 3, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
2523 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
2523 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 2523 within several notable number theory sequences:
Timeline
Deep dive
How 2523 breaks down
2523 carries 6 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 961, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111011011 supports bitwise reasoning, hexadecimal 9DB aligns with computing notation, and the Roman numeral MMDXXIII keeps the encyclopedic tradition alive. These attributes make 2523 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2523 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2518–2528) to tune search ranges, and educators feature 2523 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 2523 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 2523
Is 2523 a prime number?
2523 is composite with 6 total factors and the prime factorization 3 × 29^2.
What is the prime factorization of 2523?
It breaks down as 3 × 29^2, multiplying the primes 3 × 29 × 29.
How is 2523 represented in binary and hexadecimal?
2523 converts to 100111011011 in binary and 9DB in hexadecimal, which are helpful for computer science applications.
Is 2523 a perfect square, cube, or triangular number?
2523 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2523?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.