Is 3,424,275 a Prime Number?
No, 3,424,275 is not a prime number
Number Properties
- Value:3,424,275
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000100000000010011
- Hexadecimal:344013
Prime Status
3,424,275 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
34 × 52 × 19 × 89
Divisors
Total divisors: 60
1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 81, 89, 95, 135, 171, 225, 267, 285, 405, 445, 475, 513, 675, 801, 855, 1335, 1425, 1539, 1691, 2025, 2225, 2403, 2565, 4005, 4275, 5073, 6675, 7209, 7695, 8455, 12015, 12825, 15219, 20025, 25365, 36045, 38475, 42275, 45657, 60075, 76095, 126825, 136971, 180225, 228285, 380475, 684855, 1141425, 3424275
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.