125
125 is a odd composite number that follows 124 and precedes 126. It is composed of 4 distinct factors: 1, 5, 25, 125. Its prime factorization can be written as 5^3. 125 is classified as a deficient number based on the sum of its proper divisors. In computer science, 125 is represented as 1111101 in binary and 7D in hexadecimal. Historically, it is written as CXXV in Roman numerals. It also belongs to the perfect cube sequence.
Factor Analysis
4 FactorsProperties
The prime factorization (5^3) reveals 3 prime building blocks.
Divisible by 2
125 ends in 5, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
125 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 8 is not a multiple of 9.
Divisible by 10
125 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 125 within several notable number theory sequences:
Timeline
Deep dive
How 125 breaks down
125 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 31, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101 supports bitwise reasoning, hexadecimal 7D aligns with computing notation, and the Roman numeral CXXV keeps the encyclopedic tradition alive. These attributes make 125 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 125 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (120–130) to tune search ranges, and educators feature 125 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, Perfect cubes) help historians, numerologists, and trivia writers tie 125 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 125
Is 125 a prime number?
125 is composite with 4 total factors and the prime factorization 5^3.
What is the prime factorization of 125?
It breaks down as 5^3, multiplying the primes 5 × 5 × 5.
How is 125 represented in binary and hexadecimal?
125 converts to 1111101 in binary and 7D in hexadecimal, which are helpful for computer science applications.
Is 125 a perfect square, cube, or triangular number?
125 is not a perfect square, is a perfect cube, and is not triangular.
What are the digit sum and digital root of 125?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.