2713
2713 is a odd prime number that follows 2712 and precedes 2714. As a prime number, 2713 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2713. 2713 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2713 is represented as 101010011001 in binary and A99 in hexadecimal. Historically, it is written as MMDCCXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
2713 is prime, so its only factors are 1 and 2713.
Divisible by 2
2713 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
2713 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
2713 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 2713 within several notable number theory sequences:
Timeline
Deep dive
How 2713 breaks down
2713 carries 2 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010011001 supports bitwise reasoning, hexadecimal A99 aligns with computing notation, and the Roman numeral MMDCCXIII keeps the encyclopedic tradition alive. These attributes make 2713 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2713 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2708–2718) to tune search ranges, and educators feature 2713 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2713 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 2713
Is 2713 a prime number?
2713 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2713?
2713 is already prime, so the factorization is simply 2713.
How is 2713 represented in binary and hexadecimal?
2713 converts to 101010011001 in binary and A99 in hexadecimal, which are helpful for computer science applications.
Is 2713 a perfect square, cube, or triangular number?
2713 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2713?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.