253
253 is a odd composite number that follows 252 and precedes 254. It is composed of 4 distinct factors: 1, 11, 23, 253. Its prime factorization can be written as 11 × 23. 253 is classified as a deficient number based on the sum of its proper divisors. In computer science, 253 is represented as 11111101 in binary and FD in hexadecimal. Historically, it is written as CCLIII in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 23) reveals 2 prime building blocks.
Divisible by 2
253 ends in 3, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 53 are not divisible by 4.
Divisible by 5
253 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 10 is not a multiple of 9.
Divisible by 10
253 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 253 within several notable number theory sequences:
Timeline
Deep dive
How 253 breaks down
253 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 35, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111101 supports bitwise reasoning, hexadecimal FD aligns with computing notation, and the Roman numeral CCLIII keeps the encyclopedic tradition alive. These attributes make 253 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 253 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (248–258) to tune search ranges, and educators feature 253 in worksheets about factor trees. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 253 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 253
Is 253 a prime number?
253 is composite with 4 total factors and the prime factorization 11 × 23.
What is the prime factorization of 253?
It breaks down as 11 × 23, multiplying the primes 11 × 23.
How is 253 represented in binary and hexadecimal?
253 converts to 11111101 in binary and FD in hexadecimal, which are helpful for computer science applications.
Is 253 a perfect square, cube, or triangular number?
253 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 253?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.