7472
7472 is a even composite number that follows 7471 and precedes 7473. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472. Its prime factorization can be written as 2^4 × 467. 7472 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7472 is represented as 1110100110000 in binary and 1D30 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 467) reveals 5 prime building blocks.
Divisible by 2
7472 ends in 2, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
7472 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 20 is not a multiple of 9.
Divisible by 10
7472 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 7472 within several notable number theory sequences:
Timeline
Deep dive
How 7472 breaks down
7472 carries 10 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 7036, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110100110000 supports bitwise reasoning, hexadecimal 1D30 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7472 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7472 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7467–7477) to tune search ranges, and educators feature 7472 in worksheets about factor trees. Its binary footprint of length 13 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 7472 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 7472
Is 7472 a prime number?
7472 is composite with 10 total factors and the prime factorization 2^4 × 467.
What is the prime factorization of 7472?
It breaks down as 2^4 × 467, multiplying the primes 2 × 2 × 2 × 2 × 467.
How is 7472 represented in binary and hexadecimal?
7472 converts to 1110100110000 in binary and 1D30 in hexadecimal, which are helpful for computer science applications.
Is 7472 a perfect square, cube, or triangular number?
7472 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7472?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.