31988
31988 is a even composite number that follows 31987 and precedes 31989. It is composed of 12 distinct factors: 1, 2, 4, 11, 22, 44, 727, 1454, 2908, 7997, 15994, 31988. Its prime factorization can be written as 2^2 × 11 × 727. 31988 is classified as a deficient number based on the sum of its proper divisors. In computer science, 31988 is represented as 111110011110100 in binary and 7CF4 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 727) reveals 4 prime building blocks.
Divisible by 2
31988 ends in 8, so it is even.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
31988 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 29 is not a multiple of 9.
Divisible by 10
31988 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 31988 within several notable number theory sequences:
Timeline
Deep dive
How 31988 breaks down
31988 carries 12 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 29164, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110011110100 supports bitwise reasoning, hexadecimal 7CF4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 31988 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 31988 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (31983–31993) to tune search ranges, and educators feature 31988 in worksheets about factor trees. Its binary footprint of length 15 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 31988 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 31988
Is 31988 a prime number?
31988 is composite with 12 total factors and the prime factorization 2^2 × 11 × 727.
What is the prime factorization of 31988?
It breaks down as 2^2 × 11 × 727, multiplying the primes 2 × 2 × 11 × 727.
How is 31988 represented in binary and hexadecimal?
31988 converts to 111110011110100 in binary and 7CF4 in hexadecimal, which are helpful for computer science applications.
Is 31988 a perfect square, cube, or triangular number?
31988 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 31988?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.