103
103 is a odd prime number that follows 102 and precedes 104. As a prime number, 103 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 103. 103 is classified as a deficient number based on the sum of its proper divisors. In computer science, 103 is represented as 1100111 in binary and 67 in hexadecimal. Historically, it is written as CIII in Roman numerals.
Factor Analysis
2 FactorsProperties
103 is prime, so its only factors are 1 and 103.
Divisible by 2
103 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
103 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
103 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 103 within several notable number theory sequences:
Timeline
Deep dive
How 103 breaks down
103 carries 2 distinct factors and a digit signature of 4 (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 1100111 supports bitwise reasoning, hexadecimal 67 aligns with computing notation, and the Roman numeral CIII keeps the encyclopedic tradition alive. These attributes make 103 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 103 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (98–108) to tune search ranges, and educators feature 103 in worksheets about prime identification. Its binary footprint of length 7 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 103 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 103
Is 103 a prime number?
103 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 103?
103 is already prime, so the factorization is simply 103.
How is 103 represented in binary and hexadecimal?
103 converts to 1100111 in binary and 67 in hexadecimal, which are helpful for computer science applications.
Is 103 a perfect square, cube, or triangular number?
103 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 103?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.