2413
2413 is a odd composite number that follows 2412 and precedes 2414. It is composed of 4 distinct factors: 1, 19, 127, 2413. Its prime factorization can be written as 19 × 127. 2413 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2413 is represented as 100101101101 in binary and 96D in hexadecimal. Historically, it is written as MMCDXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 127) reveals 2 prime building blocks.
Divisible by 2
2413 ends in 3, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
2413 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
2413 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 2413 within several notable number theory sequences:
Timeline
Deep dive
How 2413 breaks down
2413 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 147, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101101101 supports bitwise reasoning, hexadecimal 96D aligns with computing notation, and the Roman numeral MMCDXIII keeps the encyclopedic tradition alive. These attributes make 2413 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2413 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2408–2418) to tune search ranges, and educators feature 2413 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 2413 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 2413
Is 2413 a prime number?
2413 is composite with 4 total factors and the prime factorization 19 × 127.
What is the prime factorization of 2413?
It breaks down as 19 × 127, multiplying the primes 19 × 127.
How is 2413 represented in binary and hexadecimal?
2413 converts to 100101101101 in binary and 96D in hexadecimal, which are helpful for computer science applications.
Is 2413 a perfect square, cube, or triangular number?
2413 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2413?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.