Is 3,438,648 a Prime Number?
No, 3,438,648 is not a prime number
Number Properties
- Value:3,438,648
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000111100000111000
- Hexadecimal:347838
Prime Status
3,438,648 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 163 × 293
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 163, 293, 326, 489, 586, 652, 879, 978, 1172, 1304, 1467, 1758, 1956, 2344, 2637, 2934, 3516, 3912, 5274, 5868, 7032, 10548, 11736, 21096, 47759, 95518, 143277, 191036, 286554, 382072, 429831, 573108, 859662, 1146216, 1719324, 3438648
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.