3650
3650 is a even composite number that follows 3649 and precedes 3651. It is composed of 12 distinct factors: 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650. Its prime factorization can be written as 2 × 5^2 × 73. 3650 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3650 is represented as 111001000010 in binary and E42 in hexadecimal. Historically, it is written as MMMDCL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 73) reveals 4 prime building blocks.
Divisible by 2
3650 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
3650 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 14 is not a multiple of 9.
Divisible by 10
3650 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3650 within several notable number theory sequences:
Timeline
Deep dive
How 3650 breaks down
3650 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 3232, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001000010 supports bitwise reasoning, hexadecimal E42 aligns with computing notation, and the Roman numeral MMMDCL keeps the encyclopedic tradition alive. These attributes make 3650 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3650 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3645–3655) to tune search ranges, and educators feature 3650 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 3650 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 3650
Is 3650 a prime number?
3650 is composite with 12 total factors and the prime factorization 2 × 5^2 × 73.
What is the prime factorization of 3650?
It breaks down as 2 × 5^2 × 73, multiplying the primes 2 × 5 × 5 × 73.
How is 3650 represented in binary and hexadecimal?
3650 converts to 111001000010 in binary and E42 in hexadecimal, which are helpful for computer science applications.
Is 3650 a perfect square, cube, or triangular number?
3650 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3650?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.