Is 3,438,990 a Prime Number?
No, 3,438,990 is not a prime number
Number Properties
- Value:3,438,990
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000111100110001110
- Hexadecimal:34798E
Prime Status
3,438,990 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 47 × 271
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 47, 54, 90, 94, 135, 141, 235, 270, 271, 282, 423, 470, 542, 705, 813, 846, 1269, 1355, 1410, 1626, 2115, 2439, 2538, 2710, 4065, 4230, 4878, 6345, 7317, 8130, 12195, 12690, 12737, 14634, 24390, 25474, 36585, 38211, 63685, 73170, 76422, 114633, 127370, 191055, 229266, 343899, 382110, 573165, 687798, 1146330, 1719495, 3438990
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.