3013
3013 is a odd composite number that follows 3012 and precedes 3014. It is composed of 4 distinct factors: 1, 23, 131, 3013. Its prime factorization can be written as 23 × 131. 3013 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3013 is represented as 101111000101 in binary and BC5 in hexadecimal. Historically, it is written as MMMXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 131) reveals 2 prime building blocks.
Divisible by 2
3013 ends in 3, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
3013 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 7 is not a multiple of 9.
Divisible by 10
3013 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 3013 within several notable number theory sequences:
Timeline
Deep dive
How 3013 breaks down
3013 carries 4 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 155, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111000101 supports bitwise reasoning, hexadecimal BC5 aligns with computing notation, and the Roman numeral MMMXIII keeps the encyclopedic tradition alive. These attributes make 3013 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3013 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3008–3018) to tune search ranges, and educators feature 3013 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 3013 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 3013
Is 3013 a prime number?
3013 is composite with 4 total factors and the prime factorization 23 × 131.
What is the prime factorization of 3013?
It breaks down as 23 × 131, multiplying the primes 23 × 131.
How is 3013 represented in binary and hexadecimal?
3013 converts to 101111000101 in binary and BC5 in hexadecimal, which are helpful for computer science applications.
Is 3013 a perfect square, cube, or triangular number?
3013 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3013?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.