Is 3,428,360 a Prime Number?
No, 3,428,360 is not a prime number
Number Properties
- Value:3,428,360
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1101000101000000001000
- Hexadecimal:345008
Prime Status
3,428,360 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 13 × 19 × 347
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 347, 380, 494, 520, 694, 760, 988, 1235, 1388, 1735, 1976, 2470, 2776, 3470, 4511, 4940, 6593, 6940, 9022, 9880, 13186, 13880, 18044, 22555, 26372, 32965, 36088, 45110, 52744, 65930, 85709, 90220, 131860, 171418, 180440, 263720, 342836, 428545, 685672, 857090, 1714180, 3428360
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.