553
553 is a odd composite number that follows 552 and precedes 554. It is composed of 4 distinct factors: 1, 7, 79, 553. Its prime factorization can be written as 7 × 79. 553 is classified as a deficient number based on the sum of its proper divisors. In computer science, 553 is represented as 1000101001 in binary and 229 in hexadecimal. Historically, it is written as DLIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 79) reveals 2 prime building blocks.
Divisible by 2
553 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 53 are not divisible by 4.
Divisible by 5
553 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 13 is not a multiple of 9.
Divisible by 10
553 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 553 within several notable number theory sequences:
Timeline
Deep dive
How 553 breaks down
553 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 87, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000101001 supports bitwise reasoning, hexadecimal 229 aligns with computing notation, and the Roman numeral DLIII keeps the encyclopedic tradition alive. These attributes make 553 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 553 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (548–558) to tune search ranges, and educators feature 553 in worksheets about factor trees. Its binary footprint of length 10 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 553 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 553
Is 553 a prime number?
553 is composite with 4 total factors and the prime factorization 7 × 79.
What is the prime factorization of 553?
It breaks down as 7 × 79, multiplying the primes 7 × 79.
How is 553 represented in binary and hexadecimal?
553 converts to 1000101001 in binary and 229 in hexadecimal, which are helpful for computer science applications.
Is 553 a perfect square, cube, or triangular number?
553 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 553?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.