153
153 is a odd composite number that follows 152 and precedes 154. It is composed of 6 distinct factors: 1, 3, 9, 17, 51, 153. Its prime factorization can be written as 3^2 × 17. 153 is classified as a deficient number based on the sum of its proper divisors. In computer science, 153 is represented as 10011001 in binary and 99 in hexadecimal. Historically, it is written as CLIII in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 17) reveals 3 prime building blocks.
Divisible by 2
153 ends in 3, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 53 are not divisible by 4.
Divisible by 5
153 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 9 is a multiple of 9.
Divisible by 10
153 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 153 within several notable number theory sequences:
Timeline
Deep dive
How 153 breaks down
153 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 81, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011001 supports bitwise reasoning, hexadecimal 99 aligns with computing notation, and the Roman numeral CLIII keeps the encyclopedic tradition alive. These attributes make 153 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 153 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (148–158) to tune search ranges, and educators feature 153 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 153 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 153
Is 153 a prime number?
153 is composite with 6 total factors and the prime factorization 3^2 × 17.
What is the prime factorization of 153?
It breaks down as 3^2 × 17, multiplying the primes 3 × 3 × 17.
How is 153 represented in binary and hexadecimal?
153 converts to 10011001 in binary and 99 in hexadecimal, which are helpful for computer science applications.
Is 153 a perfect square, cube, or triangular number?
153 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 153?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.