2506
2506 is a even composite number that follows 2505 and precedes 2507. It is composed of 8 distinct factors: 1, 2, 7, 14, 179, 358, 1253, 2506. Its prime factorization can be written as 2 × 7 × 179. 2506 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2506 is represented as 100111001010 in binary and 9CA in hexadecimal. Historically, it is written as MMDVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 179) reveals 3 prime building blocks.
Divisible by 2
2506 ends in 6, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
2506 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 13 is not a multiple of 9.
Divisible by 10
2506 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 2506 within several notable number theory sequences:
Timeline
Deep dive
How 2506 breaks down
2506 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1814, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111001010 supports bitwise reasoning, hexadecimal 9CA aligns with computing notation, and the Roman numeral MMDVI keeps the encyclopedic tradition alive. These attributes make 2506 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2506 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2501–2511) to tune search ranges, and educators feature 2506 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 2506 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 2506
Is 2506 a prime number?
2506 is composite with 8 total factors and the prime factorization 2 × 7 × 179.
What is the prime factorization of 2506?
It breaks down as 2 × 7 × 179, multiplying the primes 2 × 7 × 179.
How is 2506 represented in binary and hexadecimal?
2506 converts to 100111001010 in binary and 9CA in hexadecimal, which are helpful for computer science applications.
Is 2506 a perfect square, cube, or triangular number?
2506 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2506?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.