3553
3553 is a odd composite number that follows 3552 and precedes 3554. It is composed of 8 distinct factors: 1, 11, 17, 19, 187, 209, 323, 3553. Its prime factorization can be written as 11 × 17 × 19. 3553 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3553 is represented as 110111100001 in binary and DE1 in hexadecimal. Historically, it is written as MMMDLIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (11 × 17 × 19) reveals 3 prime building blocks.
Divisible by 2
3553 ends in 3, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 53 are not divisible by 4.
Divisible by 5
3553 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 16 is not a multiple of 9.
Divisible by 10
3553 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3553 within several notable number theory sequences:
Timeline
Deep dive
How 3553 breaks down
3553 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 767, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111100001 supports bitwise reasoning, hexadecimal DE1 aligns with computing notation, and the Roman numeral MMMDLIII keeps the encyclopedic tradition alive. These attributes make 3553 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3553 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3548–3558) to tune search ranges, and educators feature 3553 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 3553 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 3553
Is 3553 a prime number?
3553 is composite with 8 total factors and the prime factorization 11 × 17 × 19.
What is the prime factorization of 3553?
It breaks down as 11 × 17 × 19, multiplying the primes 11 × 17 × 19.
How is 3553 represented in binary and hexadecimal?
3553 converts to 110111100001 in binary and DE1 in hexadecimal, which are helpful for computer science applications.
Is 3553 a perfect square, cube, or triangular number?
3553 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3553?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.