Is 3,427,290 a Prime Number?
No, 3,427,290 is not a prime number
Number Properties
- Value:3,427,290
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000100101111011010
- Hexadecimal:344BDA
Prime Status
3,427,290 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 113 × 337
Divisors
Total divisors: 48
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 337, 339, 565, 674, 678, 1011, 1017, 1130, 1685, 1695, 2022, 2034, 3033, 3370, 3390, 5055, 5085, 6066, 10110, 10170, 15165, 30330, 38081, 76162, 114243, 190405, 228486, 342729, 380810, 571215, 685458, 1142430, 1713645, 3427290
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.