Is 3,428,992 a Prime Number?
No, 3,428,992 is not a prime number
Number Properties
- Value:3,428,992
- Number Type:Even, Positive
- Digit Sum:37
- Total Digits:7
- Binary:1101000101001010000000
- Hexadecimal:345280
Prime Status
3,428,992 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 7 × 43 × 89
Divisors
Total divisors: 64
1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 64, 86, 89, 112, 128, 172, 178, 224, 301, 344, 356, 448, 602, 623, 688, 712, 896, 1204, 1246, 1376, 1424, 2408, 2492, 2752, 2848, 3827, 4816, 4984, 5504, 5696, 7654, 9632, 9968, 11392, 15308, 19264, 19936, 26789, 30616, 38528, 39872, 53578, 61232, 79744, 107156, 122464, 214312, 244928, 428624, 489856, 857248, 1714496, 3428992
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.