6125
6125 is a odd composite number that follows 6124 and precedes 6126. It is composed of 12 distinct factors: 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125. Its prime factorization can be written as 5^3 × 7^2. 6125 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6125 is represented as 1011111101101 in binary and 17ED in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5^3 × 7^2) reveals 5 prime building blocks.
Divisible by 2
6125 ends in 5, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
6125 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 14 is not a multiple of 9.
Divisible by 10
6125 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 6125 within several notable number theory sequences:
Timeline
Deep dive
How 6125 breaks down
6125 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2767, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111101101 supports bitwise reasoning, hexadecimal 17ED aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6125 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6125 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6120–6130) to tune search ranges, and educators feature 6125 in worksheets about factor trees. Its binary footprint of length 13 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 6125 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 6125
Is 6125 a prime number?
6125 is composite with 12 total factors and the prime factorization 5^3 × 7^2.
What is the prime factorization of 6125?
It breaks down as 5^3 × 7^2, multiplying the primes 5 × 5 × 5 × 7 × 7.
How is 6125 represented in binary and hexadecimal?
6125 converts to 1011111101101 in binary and 17ED in hexadecimal, which are helpful for computer science applications.
Is 6125 a perfect square, cube, or triangular number?
6125 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6125?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.