Is 3,462,204 a Prime Number?
No, 3,462,204 is not a prime number
Number Properties
- Value:3,462,204
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101001101010000111100
- Hexadecimal:34D43C
Prime Status
3,462,204 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 31 × 41 × 227
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 227, 246, 372, 454, 492, 681, 908, 1271, 1362, 2542, 2724, 3813, 5084, 7037, 7626, 9307, 14074, 15252, 18614, 21111, 27921, 28148, 37228, 42222, 55842, 84444, 111684, 288517, 577034, 865551, 1154068, 1731102, 3462204
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.