1513
1513 is a odd composite number that follows 1512 and precedes 1514. It is composed of 4 distinct factors: 1, 17, 89, 1513. Its prime factorization can be written as 17 × 89. 1513 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1513 is represented as 10111101001 in binary and 5E9 in hexadecimal. Historically, it is written as MDXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 89) reveals 2 prime building blocks.
Divisible by 2
1513 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
1513 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
1513 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 1513 within several notable number theory sequences:
Timeline
Deep dive
How 1513 breaks down
1513 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 107, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111101001 supports bitwise reasoning, hexadecimal 5E9 aligns with computing notation, and the Roman numeral MDXIII keeps the encyclopedic tradition alive. These attributes make 1513 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1513 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1508–1518) to tune search ranges, and educators feature 1513 in worksheets about factor trees. Its binary footprint of length 11 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 1513 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 1513
Is 1513 a prime number?
1513 is composite with 4 total factors and the prime factorization 17 × 89.
What is the prime factorization of 1513?
It breaks down as 17 × 89, multiplying the primes 17 × 89.
How is 1513 represented in binary and hexadecimal?
1513 converts to 10111101001 in binary and 5E9 in hexadecimal, which are helpful for computer science applications.
Is 1513 a perfect square, cube, or triangular number?
1513 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1513?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.