Is 498,316 a Prime Number?
No, 498,316 is not a prime number
Number Properties
- Value:498,316
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:6
- Binary:1111001101010001100
- Hexadecimal:79A8C
Prime Status
498,316 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 13 × 372
Divisors
Total divisors: 36
1, 2, 4, 7, 13, 14, 26, 28, 37, 52, 74, 91, 148, 182, 259, 364, 481, 518, 962, 1036, 1369, 1924, 2738, 3367, 5476, 6734, 9583, 13468, 17797, 19166, 35594, 38332, 71188, 124579, 249158, 498316
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.