Is 3,429,376 a Prime Number?
No, 3,429,376 is not a prime number
Number Properties
- Value:3,429,376
- Number Type:Even, Positive
- Digit Sum:34
- Total Digits:7
- Binary:1101000101010000000000
- Hexadecimal:345400
Prime Status
3,429,376 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
210 × 17 × 197
Divisors
Total divisors: 44
1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 197, 256, 272, 394, 512, 544, 788, 1024, 1088, 1576, 2176, 3152, 3349, 4352, 6304, 6698, 8704, 12608, 13396, 17408, 25216, 26792, 50432, 53584, 100864, 107168, 201728, 214336, 428672, 857344, 1714688, 3429376
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.