3772
3772 is a even composite number that follows 3771 and precedes 3773. It is composed of 12 distinct factors: 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. Its prime factorization can be written as 2^2 × 23 × 41. 3772 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3772 is represented as 111010111100 in binary and EBC in hexadecimal. Historically, it is written as MMMDCCLXXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 23 × 41) reveals 4 prime building blocks.
Divisible by 2
3772 ends in 2, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
3772 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 19 is not a multiple of 9.
Divisible by 10
3772 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 3772 within several notable number theory sequences:
Timeline
Deep dive
How 3772 breaks down
3772 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 3284, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010111100 supports bitwise reasoning, hexadecimal EBC aligns with computing notation, and the Roman numeral MMMDCCLXXII keeps the encyclopedic tradition alive. These attributes make 3772 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3772 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3767–3777) to tune search ranges, and educators feature 3772 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 3772 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 3772
Is 3772 a prime number?
3772 is composite with 12 total factors and the prime factorization 2^2 × 23 × 41.
What is the prime factorization of 3772?
It breaks down as 2^2 × 23 × 41, multiplying the primes 2 × 2 × 23 × 41.
How is 3772 represented in binary and hexadecimal?
3772 converts to 111010111100 in binary and EBC in hexadecimal, which are helpful for computer science applications.
Is 3772 a perfect square, cube, or triangular number?
3772 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3772?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.