1012
1012 is a even composite number that follows 1011 and precedes 1013. It is composed of 12 distinct factors: 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. Its prime factorization can be written as 2^2 × 11 × 23. 1012 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1012 is represented as 1111110100 in binary and 3F4 in hexadecimal. Historically, it is written as MXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 23) reveals 4 prime building blocks.
Divisible by 2
1012 ends in 2, so it is even.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 12 form a multiple of 4.
Divisible by 5
1012 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 4 is not a multiple of 9.
Divisible by 10
1012 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1012 within several notable number theory sequences:
Timeline
Deep dive
How 1012 breaks down
1012 carries 12 distinct factors and a digit signature of 4 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1004, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110100 supports bitwise reasoning, hexadecimal 3F4 aligns with computing notation, and the Roman numeral MXII keeps the encyclopedic tradition alive. These attributes make 1012 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1012 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1007–1017) to tune search ranges, and educators feature 1012 in worksheets about factor trees. Its binary footprint of length 10 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 1012 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 1012
Is 1012 a prime number?
1012 is composite with 12 total factors and the prime factorization 2^2 × 11 × 23.
What is the prime factorization of 1012?
It breaks down as 2^2 × 11 × 23, multiplying the primes 2 × 2 × 11 × 23.
How is 1012 represented in binary and hexadecimal?
1012 converts to 1111110100 in binary and 3F4 in hexadecimal, which are helpful for computer science applications.
Is 1012 a perfect square, cube, or triangular number?
1012 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1012?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.