Is 3,426,588 a Prime Number?
No, 3,426,588 is not a prime number
Number Properties
- Value:3,426,588
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000100100100011100
- Hexadecimal:34491C
Prime Status
3,426,588 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 17 × 509
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 509, 561, 612, 748, 1018, 1122, 1527, 1683, 2036, 2244, 3054, 3366, 4581, 5599, 6108, 6732, 8653, 9162, 11198, 16797, 17306, 18324, 22396, 25959, 33594, 34612, 50391, 51918, 67188, 77877, 95183, 100782, 103836, 155754, 190366, 201564, 285549, 311508, 380732, 571098, 856647, 1142196, 1713294, 3426588
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.