162
162 is a even composite number that follows 161 and precedes 163. It is composed of 10 distinct factors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. Its prime factorization can be written as 2 × 3^4. 162 is classified as a abundant number based on the sum of its proper divisors. In computer science, 162 is represented as 10100010 in binary and A2 in hexadecimal. Historically, it is written as CLXII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2 × 3^4) reveals 5 prime building blocks.
Divisible by 2
162 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 62 are not divisible by 4.
Divisible by 5
162 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
162 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 162 within several notable number theory sequences:
Timeline
Deep dive
How 162 breaks down
162 carries 10 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 201, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100010 supports bitwise reasoning, hexadecimal A2 aligns with computing notation, and the Roman numeral CLXII keeps the encyclopedic tradition alive. These attributes make 162 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 162 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (157–167) to tune search ranges, and educators feature 162 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, Abundant numbers) help historians, numerologists, and trivia writers tie 162 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 162
Is 162 a prime number?
162 is composite with 10 total factors and the prime factorization 2 × 3^4.
What is the prime factorization of 162?
It breaks down as 2 × 3^4, multiplying the primes 2 × 3 × 3 × 3 × 3.
How is 162 represented in binary and hexadecimal?
162 converts to 10100010 in binary and A2 in hexadecimal, which are helpful for computer science applications.
Is 162 a perfect square, cube, or triangular number?
162 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 162?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.