3700
3700 is a even composite number that follows 3699 and precedes 3701. It is composed of 18 distinct factors: 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700. Its prime factorization can be written as 2^2 × 5^2 × 37. 3700 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3700 is represented as 111001110100 in binary and E74 in hexadecimal. Historically, it is written as MMMDCC in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 5^2 × 37) reveals 5 prime building blocks.
Divisible by 2
3700 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
3700 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 10 is not a multiple of 9.
Divisible by 10
3700 ends in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Abundant classification and digit analytics place 3700 within several notable number theory sequences:
Timeline
Deep dive
How 3700 breaks down
3700 carries 18 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 4546, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001110100 supports bitwise reasoning, hexadecimal E74 aligns with computing notation, and the Roman numeral MMMDCC keeps the encyclopedic tradition alive. These attributes make 3700 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3700 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3695–3705) to tune search ranges, and educators feature 3700 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 3700 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 3700
Is 3700 a prime number?
3700 is composite with 18 total factors and the prime factorization 2^2 × 5^2 × 37.
What is the prime factorization of 3700?
It breaks down as 2^2 × 5^2 × 37, multiplying the primes 2 × 2 × 5 × 5 × 37.
How is 3700 represented in binary and hexadecimal?
3700 converts to 111001110100 in binary and E74 in hexadecimal, which are helpful for computer science applications.
Is 3700 a perfect square, cube, or triangular number?
3700 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3700?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.