Is 3,427,380 a Prime Number?
No, 3,427,380 is not a prime number
Number Properties
- Value:3,427,380
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000100110000110100
- Hexadecimal:344C34
Prime Status
3,427,380 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 11 × 577
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 577, 594, 660, 990, 1154, 1188, 1485, 1731, 1980, 2308, 2885, 2970, 3462, 5193, 5770, 5940, 6347, 6924, 8655, 10386, 11540, 12694, 15579, 17310, 19041, 20772, 25388, 25965, 31158, 31735, 34620, 38082, 51930, 57123, 62316, 63470, 76164, 77895, 95205, 103860, 114246, 126940, 155790, 171369, 190410, 228492, 285615, 311580, 342738, 380820, 571230, 685476, 856845, 1142460, 1713690, 3427380
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.