7013
7013 is a odd prime number that follows 7012 and precedes 7014. As a prime number, 7013 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 7013. 7013 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7013 is represented as 1101101100101 in binary and 1B65 in hexadecimal.
Factor Analysis
2 FactorsProperties
7013 is prime, so its only factors are 1 and 7013.
Divisible by 2
7013 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
7013 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
7013 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 7013 within several notable number theory sequences:
Timeline
Deep dive
How 7013 breaks down
7013 carries 2 distinct factors and a digit signature of 11 (2 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 1101101100101 supports bitwise reasoning, hexadecimal 1B65 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7013 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7013 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7008–7018) to tune search ranges, and educators feature 7013 in worksheets about prime identification. Its binary footprint of length 13 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 7013 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 7013
Is 7013 a prime number?
7013 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 7013?
7013 is already prime, so the factorization is simply 7013.
How is 7013 represented in binary and hexadecimal?
7013 converts to 1101101100101 in binary and 1B65 in hexadecimal, which are helpful for computer science applications.
Is 7013 a perfect square, cube, or triangular number?
7013 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7013?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.