Is 3,426,678 a Prime Number?
No, 3,426,678 is not a prime number
Number Properties
- Value:3,426,678
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000100100101110110
- Hexadecimal:344976
Prime Status
3,426,678 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 23 × 31 × 89
Divisors
Total divisors: 64
1, 2, 3, 6, 9, 18, 23, 27, 31, 46, 54, 62, 69, 89, 93, 138, 178, 186, 207, 267, 279, 414, 534, 558, 621, 713, 801, 837, 1242, 1426, 1602, 1674, 2047, 2139, 2403, 2759, 4094, 4278, 4806, 5518, 6141, 6417, 8277, 12282, 12834, 16554, 18423, 19251, 24831, 36846, 38502, 49662, 55269, 63457, 74493, 110538, 126914, 148986, 190371, 380742, 571113, 1142226, 1713339, 3426678
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.