Is 491,470 a Prime Number?
No, 491,470 is not a prime number
Number Properties
- Value:491,470
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:6
- Binary:1110111111111001110
- Hexadecimal:77FCE
Prime Status
491,470 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 72 × 17 × 59
Divisors
Total divisors: 48
1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 59, 70, 85, 98, 118, 119, 170, 238, 245, 295, 413, 490, 590, 595, 826, 833, 1003, 1190, 1666, 2006, 2065, 2891, 4130, 4165, 5015, 5782, 7021, 8330, 10030, 14042, 14455, 28910, 35105, 49147, 70210, 98294, 245735, 491470
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.