Is 3,437,604 a Prime Number?
No, 3,437,604 is not a prime number
Number Properties
- Value:3,437,604
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000111010000100100
- Hexadecimal:347424
Prime Status
3,437,604 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 17 × 41 × 137
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 41, 51, 68, 82, 102, 123, 137, 153, 164, 204, 246, 274, 306, 369, 411, 492, 548, 612, 697, 738, 822, 1233, 1394, 1476, 1644, 2091, 2329, 2466, 2788, 4182, 4658, 4932, 5617, 6273, 6987, 8364, 9316, 11234, 12546, 13974, 16851, 20961, 22468, 25092, 27948, 33702, 41922, 50553, 67404, 83844, 95489, 101106, 190978, 202212, 286467, 381956, 572934, 859401, 1145868, 1718802, 3437604
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.