2512
2512 is a even composite number that follows 2511 and precedes 2513. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512. Its prime factorization can be written as 2^4 × 157. 2512 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2512 is represented as 100111010000 in binary and 9D0 in hexadecimal. Historically, it is written as MMDXII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 157) reveals 5 prime building blocks.
Divisible by 2
2512 ends in 2, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 12 form a multiple of 4.
Divisible by 5
2512 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 10 is not a multiple of 9.
Divisible by 10
2512 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 2512 within several notable number theory sequences:
Timeline
Deep dive
How 2512 breaks down
2512 carries 10 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 2386, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111010000 supports bitwise reasoning, hexadecimal 9D0 aligns with computing notation, and the Roman numeral MMDXII keeps the encyclopedic tradition alive. These attributes make 2512 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2512 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2507–2517) to tune search ranges, and educators feature 2512 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 2512 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 2512
Is 2512 a prime number?
2512 is composite with 10 total factors and the prime factorization 2^4 × 157.
What is the prime factorization of 2512?
It breaks down as 2^4 × 157, multiplying the primes 2 × 2 × 2 × 2 × 157.
How is 2512 represented in binary and hexadecimal?
2512 converts to 100111010000 in binary and 9D0 in hexadecimal, which are helpful for computer science applications.
Is 2512 a perfect square, cube, or triangular number?
2512 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2512?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.