60
60 is a even composite number that follows 59 and precedes 61. It is composed of 12 distinct factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. Its prime factorization can be written as 2^2 × 3 × 5. 60 is classified as a abundant number based on the sum of its proper divisors. In computer science, 60 is represented as 111100 in binary and 3C in hexadecimal. Historically, it is written as LX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 5) reveals 4 prime building blocks.
Divisible by 2
60 ends in 0, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
60 ends in 0, so it is divisible by 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 6 is not a multiple of 9.
Divisible by 10
60 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 60 within several notable number theory sequences:
Timeline
Deep dive
How 60 breaks down
60 carries 12 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 108, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100 supports bitwise reasoning, hexadecimal 3C aligns with computing notation, and the Roman numeral LX keeps the encyclopedic tradition alive. These attributes make 60 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 60 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55–65) to tune search ranges, and educators feature 60 in worksheets about factor trees. Its binary footprint of length 6 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 60 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 60
Is 60 a prime number?
60 is composite with 12 total factors and the prime factorization 2^2 × 3 × 5.
What is the prime factorization of 60?
It breaks down as 2^2 × 3 × 5, multiplying the primes 2 × 2 × 3 × 5.
How is 60 represented in binary and hexadecimal?
60 converts to 111100 in binary and 3C in hexadecimal, which are helpful for computer science applications.
Is 60 a perfect square, cube, or triangular number?
60 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 60?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.