Is 488,824 a Prime Number?
No, 488,824 is not a prime number
Number Properties
- Value:488,824
- Number Type:Even, Positive
- Digit Sum:34
- Total Digits:6
- Binary:1110111010101111000
- Hexadecimal:77578
Prime Status
488,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 72 × 29 × 43
Divisors
Total divisors: 48
1, 2, 4, 7, 8, 14, 28, 29, 43, 49, 56, 58, 86, 98, 116, 172, 196, 203, 232, 301, 344, 392, 406, 602, 812, 1204, 1247, 1421, 1624, 2107, 2408, 2494, 2842, 4214, 4988, 5684, 8428, 8729, 9976, 11368, 16856, 17458, 34916, 61103, 69832, 122206, 244412, 488824
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.