104
104 is a even composite number that follows 103 and precedes 105. It is composed of 8 distinct factors: 1, 2, 4, 8, 13, 26, 52, 104. Its prime factorization can be written as 2^3 × 13. 104 is classified as a abundant number based on the sum of its proper divisors. In computer science, 104 is represented as 1101000 in binary and 68 in hexadecimal. Historically, it is written as CIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 13) reveals 4 prime building blocks.
Divisible by 2
104 ends in 4, so it is even.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
104 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 5 is not a multiple of 9.
Divisible by 10
104 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 104 within several notable number theory sequences:
Timeline
Deep dive
How 104 breaks down
104 carries 8 distinct factors and a digit signature of 5 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 106, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000 supports bitwise reasoning, hexadecimal 68 aligns with computing notation, and the Roman numeral CIV keeps the encyclopedic tradition alive. These attributes make 104 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 104 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (99–109) to tune search ranges, and educators feature 104 in worksheets about factor trees. 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 (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 104 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 104
Is 104 a prime number?
104 is composite with 8 total factors and the prime factorization 2^3 × 13.
What is the prime factorization of 104?
It breaks down as 2^3 × 13, multiplying the primes 2 × 2 × 2 × 13.
How is 104 represented in binary and hexadecimal?
104 converts to 1101000 in binary and 68 in hexadecimal, which are helpful for computer science applications.
Is 104 a perfect square, cube, or triangular number?
104 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 104?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.