102
102 is a even composite number that follows 101 and precedes 103. It is composed of 8 distinct factors: 1, 2, 3, 6, 17, 34, 51, 102. Its prime factorization can be written as 2 × 3 × 17. 102 is classified as a abundant number based on the sum of its proper divisors. In computer science, 102 is represented as 1100110 in binary and 66 in hexadecimal. Historically, it is written as CII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 17) reveals 3 prime building blocks.
Divisible by 2
102 ends in 2, so it is even.
Divisible by 3
The digit sum 3 is a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
102 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 3 is not a multiple of 9.
Divisible by 10
102 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 102 within several notable number theory sequences:
Timeline
Deep dive
How 102 breaks down
102 carries 8 distinct factors and a digit signature of 3 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 114, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100110 supports bitwise reasoning, hexadecimal 66 aligns with computing notation, and the Roman numeral CII keeps the encyclopedic tradition alive. These attributes make 102 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 102 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (97–107) to tune search ranges, and educators feature 102 in worksheets about factor trees. Its binary footprint of length 7 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 102 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 102
Is 102 a prime number?
102 is composite with 8 total factors and the prime factorization 2 × 3 × 17.
What is the prime factorization of 102?
It breaks down as 2 × 3 × 17, multiplying the primes 2 × 3 × 17.
How is 102 represented in binary and hexadecimal?
102 converts to 1100110 in binary and 66 in hexadecimal, which are helpful for computer science applications.
Is 102 a perfect square, cube, or triangular number?
102 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 102?
The digits sum to 3, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.