Is 491,550 a Prime Number?
No, 491,550 is not a prime number
Number Properties
- Value:491,550
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:6
- Binary:1111000000000011110
- Hexadecimal:7801E
Prime Status
491,550 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 52 × 29 × 113
Divisors
Total divisors: 48
1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 113, 145, 150, 174, 226, 290, 339, 435, 565, 678, 725, 870, 1130, 1450, 1695, 2175, 2825, 3277, 3390, 4350, 5650, 6554, 8475, 9831, 16385, 16950, 19662, 32770, 49155, 81925, 98310, 163850, 245775, 491550
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.