Is 3,438,204 a Prime Number?
No, 3,438,204 is not a prime number
Number Properties
- Value:3,438,204
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000111011001111100
- Hexadecimal:34767C
Prime Status
3,438,204 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 11 × 612
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 61, 66, 77, 84, 122, 132, 154, 183, 231, 244, 308, 366, 427, 462, 671, 732, 854, 924, 1281, 1342, 1708, 2013, 2562, 2684, 3721, 4026, 4697, 5124, 7442, 8052, 9394, 11163, 14091, 14884, 18788, 22326, 26047, 28182, 40931, 44652, 52094, 56364, 78141, 81862, 104188, 122793, 156282, 163724, 245586, 286517, 312564, 491172, 573034, 859551, 1146068, 1719102, 3438204
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.