Is 3,424,148 a Prime Number?
No, 3,424,148 is not a prime number
Number Properties
- Value:3,424,148
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1101000011111110010100
- Hexadecimal:343F94
Prime Status
3,424,148 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 13 × 23 × 409
Divisors
Total divisors: 48
1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 409, 598, 644, 818, 1196, 1636, 2093, 2863, 4186, 5317, 5726, 8372, 9407, 10634, 11452, 18814, 21268, 37219, 37628, 65849, 74438, 122291, 131698, 148876, 244582, 263396, 489164, 856037, 1712074, 3424148
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.