Is 494,940 a Prime Number?
No, 494,940 is not a prime number
Number Properties
- Value:494,940
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:6
- Binary:1111000110101011100
- Hexadecimal:78D5C
Prime Status
494,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 73 × 113
Divisors
Total divisors: 48
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 113, 146, 219, 226, 292, 339, 365, 438, 452, 565, 678, 730, 876, 1095, 1130, 1356, 1460, 1695, 2190, 2260, 3390, 4380, 6780, 8249, 16498, 24747, 32996, 41245, 49494, 82490, 98988, 123735, 164980, 247470, 494940
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.