Is 3,428,932 a Prime Number?
No, 3,428,932 is not a prime number
Number Properties
- Value:3,428,932
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101000101001001000100
- Hexadecimal:345244
Prime Status
3,428,932 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 13 × 23 × 47 × 61
Divisors
Total divisors: 48
1, 2, 4, 13, 23, 26, 46, 47, 52, 61, 92, 94, 122, 188, 244, 299, 598, 611, 793, 1081, 1196, 1222, 1403, 1586, 2162, 2444, 2806, 2867, 3172, 4324, 5612, 5734, 11468, 14053, 18239, 28106, 36478, 37271, 56212, 65941, 72956, 74542, 131882, 149084, 263764, 857233, 1714466, 3428932
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.