Is 490,784 a Prime Number?
No, 490,784 is not a prime number
Number Properties
- Value:490,784
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:6
- Binary:1110111110100100000
- Hexadecimal:77D20
Prime Status
490,784 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 72 × 313
Divisors
Total divisors: 36
1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 313, 392, 626, 784, 1252, 1568, 2191, 2504, 4382, 5008, 8764, 10016, 15337, 17528, 30674, 35056, 61348, 70112, 122696, 245392, 490784
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.