Is 3,438,396 a Prime Number?
No, 3,438,396 is not a prime number
Number Properties
- Value:3,438,396
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000111011100111100
- Hexadecimal:34773C
Prime Status
3,438,396 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 13 × 31 × 79
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 31, 36, 39, 52, 54, 62, 78, 79, 93, 108, 117, 124, 156, 158, 186, 234, 237, 279, 316, 351, 372, 403, 468, 474, 558, 702, 711, 806, 837, 948, 1027, 1116, 1209, 1404, 1422, 1612, 1674, 2054, 2133, 2418, 2449, 2844, 3081, 3348, 3627, 4108, 4266, 4836, 4898, 6162, 7254, 7347, 8532, 9243, 9796, 10881, 12324, 14508, 14694, 18486, 21762, 22041, 27729, 29388, 31837, 36972, 43524, 44082, 55458, 63674, 66123, 88164, 95511, 110916, 127348, 132246, 191022, 264492, 286533, 382044, 573066, 859599, 1146132, 1719198, 3438396
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.