Is 3,493,204 a Prime Number?
No, 3,493,204 is not a prime number
Number Properties
- Value:3,493,204
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1101010100110101010100
- Hexadecimal:354D54
Prime Status
3,493,204 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 11 × 13 × 31 × 197
Divisors
Total divisors: 48
1, 2, 4, 11, 13, 22, 26, 31, 44, 52, 62, 124, 143, 197, 286, 341, 394, 403, 572, 682, 788, 806, 1364, 1612, 2167, 2561, 4334, 4433, 5122, 6107, 8668, 8866, 10244, 12214, 17732, 24428, 28171, 56342, 67177, 79391, 112684, 134354, 158782, 268708, 317564, 873301, 1746602, 3493204
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.