Is 490,448 a Prime Number?
No, 490,448 is not a prime number
Number Properties
- Value:490,448
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:6
- Binary:1110111101111010000
- Hexadecimal:77BD0
Prime Status
490,448 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 29 × 151
Divisors
Total divisors: 40
1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 151, 203, 232, 302, 406, 464, 604, 812, 1057, 1208, 1624, 2114, 2416, 3248, 4228, 4379, 8456, 8758, 16912, 17516, 30653, 35032, 61306, 70064, 122612, 245224, 490448
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.