7498
7498 is a even composite number that follows 7497 and precedes 7499. It is composed of 8 distinct factors: 1, 2, 23, 46, 163, 326, 3749, 7498. Its prime factorization can be written as 2 × 23 × 163. 7498 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7498 is represented as 1110101001010 in binary and 1D4A in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 23 × 163) reveals 3 prime building blocks.
Divisible by 2
7498 ends in 8, so it is even.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
7498 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 28 is not a multiple of 9.
Divisible by 10
7498 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 7498 within several notable number theory sequences:
Timeline
Deep dive
How 7498 breaks down
7498 carries 8 distinct factors and a digit signature of 28 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 4310, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110101001010 supports bitwise reasoning, hexadecimal 1D4A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7498 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7498 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7493–7503) to tune search ranges, and educators feature 7498 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 7498 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 7498
Is 7498 a prime number?
7498 is composite with 8 total factors and the prime factorization 2 × 23 × 163.
What is the prime factorization of 7498?
It breaks down as 2 × 23 × 163, multiplying the primes 2 × 23 × 163.
How is 7498 represented in binary and hexadecimal?
7498 converts to 1110101001010 in binary and 1D4A in hexadecimal, which are helpful for computer science applications.
Is 7498 a perfect square, cube, or triangular number?
7498 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7498?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.