3725
3725 is a odd composite number that follows 3724 and precedes 3726. It is composed of 6 distinct factors: 1, 5, 25, 149, 745, 3725. Its prime factorization can be written as 5^2 × 149. 3725 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3725 is represented as 111010001101 in binary and E8D in hexadecimal. Historically, it is written as MMMDCCXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 149) reveals 3 prime building blocks.
Divisible by 2
3725 ends in 5, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
3725 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 17 is not a multiple of 9.
Divisible by 10
3725 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 3725 within several notable number theory sequences:
Timeline
Deep dive
How 3725 breaks down
3725 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 925, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010001101 supports bitwise reasoning, hexadecimal E8D aligns with computing notation, and the Roman numeral MMMDCCXXV keeps the encyclopedic tradition alive. These attributes make 3725 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3725 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3720–3730) to tune search ranges, and educators feature 3725 in worksheets about factor trees. Its binary footprint of length 12 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 3725 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 3725
Is 3725 a prime number?
3725 is composite with 6 total factors and the prime factorization 5^2 × 149.
What is the prime factorization of 3725?
It breaks down as 5^2 × 149, multiplying the primes 5 × 5 × 149.
How is 3725 represented in binary and hexadecimal?
3725 converts to 111010001101 in binary and E8D in hexadecimal, which are helpful for computer science applications.
Is 3725 a perfect square, cube, or triangular number?
3725 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3725?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.