2513
2513 is a odd composite number that follows 2512 and precedes 2514. It is composed of 4 distinct factors: 1, 7, 359, 2513. Its prime factorization can be written as 7 × 359. 2513 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2513 is represented as 100111010001 in binary and 9D1 in hexadecimal. Historically, it is written as MMDXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 359) reveals 2 prime building blocks.
Divisible by 2
2513 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
2513 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 11 is not a multiple of 9.
Divisible by 10
2513 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 2513 within several notable number theory sequences:
Timeline
Deep dive
How 2513 breaks down
2513 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 367, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111010001 supports bitwise reasoning, hexadecimal 9D1 aligns with computing notation, and the Roman numeral MMDXIII keeps the encyclopedic tradition alive. These attributes make 2513 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2513 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2508–2518) to tune search ranges, and educators feature 2513 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 2513 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 2513
Is 2513 a prime number?
2513 is composite with 4 total factors and the prime factorization 7 × 359.
What is the prime factorization of 2513?
It breaks down as 7 × 359, multiplying the primes 7 × 359.
How is 2513 represented in binary and hexadecimal?
2513 converts to 100111010001 in binary and 9D1 in hexadecimal, which are helpful for computer science applications.
Is 2513 a perfect square, cube, or triangular number?
2513 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2513?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.