Is 3,425,548 a Prime Number?
No, 3,425,548 is not a prime number
Number Properties
- Value:3,425,548
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101000100010100001100
- Hexadecimal:34450C
Prime Status
3,425,548 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 19 × 47 × 137
Divisors
Total divisors: 48
1, 2, 4, 7, 14, 19, 28, 38, 47, 76, 94, 133, 137, 188, 266, 274, 329, 532, 548, 658, 893, 959, 1316, 1786, 1918, 2603, 3572, 3836, 5206, 6251, 6439, 10412, 12502, 12878, 18221, 25004, 25756, 36442, 45073, 72884, 90146, 122341, 180292, 244682, 489364, 856387, 1712774, 3425548
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.