3770
3770 is a even composite number that follows 3769 and precedes 3771. It is composed of 16 distinct factors: 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. Its prime factorization can be written as 2 × 5 × 13 × 29. 3770 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3770 is represented as 111010111010 in binary and EBA in hexadecimal. Historically, it is written as MMMDCCLXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 13 × 29) reveals 4 prime building blocks.
Divisible by 2
3770 ends in 0, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
3770 ends in 0, 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
3770 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 3770 within several notable number theory sequences:
Timeline
Deep dive
How 3770 breaks down
3770 carries 16 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 3790, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010111010 supports bitwise reasoning, hexadecimal EBA aligns with computing notation, and the Roman numeral MMMDCCLXX keeps the encyclopedic tradition alive. These attributes make 3770 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3770 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3765–3775) to tune search ranges, and educators feature 3770 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3770 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 3770
Is 3770 a prime number?
3770 is composite with 16 total factors and the prime factorization 2 × 5 × 13 × 29.
What is the prime factorization of 3770?
It breaks down as 2 × 5 × 13 × 29, multiplying the primes 2 × 5 × 13 × 29.
How is 3770 represented in binary and hexadecimal?
3770 converts to 111010111010 in binary and EBA in hexadecimal, which are helpful for computer science applications.
Is 3770 a perfect square, cube, or triangular number?
3770 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3770?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.