67024
67024 is a even composite number that follows 67023 and precedes 67025. It is composed of 20 distinct factors: 1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024. Its prime factorization can be written as 2^4 × 59 × 71. 67024 is classified as a deficient number based on the sum of its proper divisors. In computer science, 67024 is represented as 10000010111010000 in binary and 105D0 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 59 × 71) reveals 6 prime building blocks.
Divisible by 2
67024 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
67024 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 19 is not a multiple of 9.
Divisible by 10
67024 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 67024 within several notable number theory sequences:
Timeline
Deep dive
How 67024 breaks down
67024 carries 20 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 66896, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000010111010000 supports bitwise reasoning, hexadecimal 105D0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 67024 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 67024 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (67019–67029) to tune search ranges, and educators feature 67024 in worksheets about factor trees. Its binary footprint of length 17 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 67024 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 67024
Is 67024 a prime number?
67024 is composite with 20 total factors and the prime factorization 2^4 × 59 × 71.
What is the prime factorization of 67024?
It breaks down as 2^4 × 59 × 71, multiplying the primes 2 × 2 × 2 × 2 × 59 × 71.
How is 67024 represented in binary and hexadecimal?
67024 converts to 10000010111010000 in binary and 105D0 in hexadecimal, which are helpful for computer science applications.
Is 67024 a perfect square, cube, or triangular number?
67024 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 67024?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.