124
124 is a even composite number that follows 123 and precedes 125. It is composed of 6 distinct factors: 1, 2, 4, 31, 62, 124. Its prime factorization can be written as 2^2 × 31. 124 is classified as a deficient number based on the sum of its proper divisors. In computer science, 124 is represented as 1111100 in binary and 7C in hexadecimal. Historically, it is written as CXXIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 31) reveals 3 prime building blocks.
Divisible by 2
124 ends in 4, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
124 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
124 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 124 within several notable number theory sequences:
Timeline
Deep dive
How 124 breaks down
124 carries 6 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 100, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111100 supports bitwise reasoning, hexadecimal 7C aligns with computing notation, and the Roman numeral CXXIV keeps the encyclopedic tradition alive. These attributes make 124 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 124 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (119–129) to tune search ranges, and educators feature 124 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, Deficient numbers) help historians, numerologists, and trivia writers tie 124 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 124
Is 124 a prime number?
124 is composite with 6 total factors and the prime factorization 2^2 × 31.
What is the prime factorization of 124?
It breaks down as 2^2 × 31, multiplying the primes 2 × 2 × 31.
How is 124 represented in binary and hexadecimal?
124 converts to 1111100 in binary and 7C in hexadecimal, which are helpful for computer science applications.
Is 124 a perfect square, cube, or triangular number?
124 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 124?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.