Is 2,638,428 a Prime Number?
No, 2,638,428 is not a prime number
Number Properties
- Value:2,638,428
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1010000100001001011100
- Hexadecimal:28425C
Prime Status
2,638,428 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 132 × 1301
Divisors
Total divisors: 36
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 1301, 2028, 2602, 3903, 5204, 7806, 15612, 16913, 33826, 50739, 67652, 101478, 202956, 219869, 439738, 659607, 879476, 1319214, 2638428
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.