152
152 is a even composite number that follows 151 and precedes 153. It is composed of 8 distinct factors: 1, 2, 4, 8, 19, 38, 76, 152. Its prime factorization can be written as 2^3 × 19. 152 is classified as a deficient number based on the sum of its proper divisors. In computer science, 152 is represented as 10011000 in binary and 98 in hexadecimal. Historically, it is written as CLII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 19) reveals 4 prime building blocks.
Divisible by 2
152 ends in 2, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
152 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 8 is not a multiple of 9.
Divisible by 10
152 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 152 within several notable number theory sequences:
Timeline
Deep dive
How 152 breaks down
152 carries 8 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 148, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011000 supports bitwise reasoning, hexadecimal 98 aligns with computing notation, and the Roman numeral CLII keeps the encyclopedic tradition alive. These attributes make 152 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 152 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (147–157) to tune search ranges, and educators feature 152 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) help historians, numerologists, and trivia writers tie 152 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 152
Is 152 a prime number?
152 is composite with 8 total factors and the prime factorization 2^3 × 19.
What is the prime factorization of 152?
It breaks down as 2^3 × 19, multiplying the primes 2 × 2 × 2 × 19.
How is 152 represented in binary and hexadecimal?
152 converts to 10011000 in binary and 98 in hexadecimal, which are helpful for computer science applications.
Is 152 a perfect square, cube, or triangular number?
152 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 152?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.