1003
1003 is a odd composite number that follows 1002 and precedes 1004. It is composed of 4 distinct factors: 1, 17, 59, 1003. Its prime factorization can be written as 17 × 59. 1003 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1003 is represented as 1111101011 in binary and 3EB in hexadecimal. Historically, it is written as MIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 59) reveals 2 prime building blocks.
Divisible by 2
1003 ends in 3, so it is odd.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 03 are not divisible by 4.
Divisible by 5
1003 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 4 is not a multiple of 9.
Divisible by 10
1003 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 1003 within several notable number theory sequences:
Timeline
Deep dive
How 1003 breaks down
1003 carries 4 distinct factors and a digit signature of 4 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 77, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101011 supports bitwise reasoning, hexadecimal 3EB aligns with computing notation, and the Roman numeral MIII keeps the encyclopedic tradition alive. These attributes make 1003 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1003 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (998–1008) to tune search ranges, and educators feature 1003 in worksheets about factor trees. Its binary footprint of length 10 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 1003 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 1003
Is 1003 a prime number?
1003 is composite with 4 total factors and the prime factorization 17 × 59.
What is the prime factorization of 1003?
It breaks down as 17 × 59, multiplying the primes 17 × 59.
How is 1003 represented in binary and hexadecimal?
1003 converts to 1111101011 in binary and 3EB in hexadecimal, which are helpful for computer science applications.
Is 1003 a perfect square, cube, or triangular number?
1003 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1003?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.