3753
3753 is a odd composite number that follows 3752 and precedes 3754. It is composed of 8 distinct factors: 1, 3, 9, 27, 139, 417, 1251, 3753. Its prime factorization can be written as 3^3 × 139. 3753 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3753 is represented as 111010101001 in binary and EA9 in hexadecimal. Historically, it is written as MMMDCCLIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 139) reveals 4 prime building blocks.
Divisible by 2
3753 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 53 are not divisible by 4.
Divisible by 5
3753 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 18 is a multiple of 9.
Divisible by 10
3753 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 3753 within several notable number theory sequences:
Timeline
Deep dive
How 3753 breaks down
3753 carries 8 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1847, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010101001 supports bitwise reasoning, hexadecimal EA9 aligns with computing notation, and the Roman numeral MMMDCCLIII keeps the encyclopedic tradition alive. These attributes make 3753 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3753 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3748–3758) to tune search ranges, and educators feature 3753 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 3753 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 3753
Is 3753 a prime number?
3753 is composite with 8 total factors and the prime factorization 3^3 × 139.
What is the prime factorization of 3753?
It breaks down as 3^3 × 139, multiplying the primes 3 × 3 × 3 × 139.
How is 3753 represented in binary and hexadecimal?
3753 converts to 111010101001 in binary and EA9 in hexadecimal, which are helpful for computer science applications.
Is 3753 a perfect square, cube, or triangular number?
3753 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3753?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.