Is 491,130 a Prime Number?
No, 491,130 is not a prime number
Number Properties
- Value:491,130
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1110111111001111010
- Hexadecimal:77E7A
Prime Status
491,130 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 17 × 107
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 107, 135, 153, 170, 214, 255, 270, 306, 321, 459, 510, 535, 642, 765, 918, 963, 1070, 1530, 1605, 1819, 1926, 2295, 2889, 3210, 3638, 4590, 4815, 5457, 5778, 9095, 9630, 10914, 14445, 16371, 18190, 27285, 28890, 32742, 49113, 54570, 81855, 98226, 163710, 245565, 491130
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.