Is 3,438,148 a Prime Number?
No, 3,438,148 is not a prime number
Number Properties
- Value:3,438,148
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101000111011001000100
- Hexadecimal:347644
Prime Status
3,438,148 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 17 × 31 × 233
Divisors
Total divisors: 48
1, 2, 4, 7, 14, 17, 28, 31, 34, 62, 68, 119, 124, 217, 233, 238, 434, 466, 476, 527, 868, 932, 1054, 1631, 2108, 3262, 3689, 3961, 6524, 7223, 7378, 7922, 14446, 14756, 15844, 27727, 28892, 50561, 55454, 101122, 110908, 122791, 202244, 245582, 491164, 859537, 1719074, 3438148
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.