Is 3,424,278 a Prime Number?
No, 3,424,278 is not a prime number
Number Properties
- Value:3,424,278
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101000100000000010110
- Hexadecimal:344016
Prime Status
3,424,278 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 11 × 132 × 307
Divisors
Total divisors: 48
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 169, 286, 307, 338, 429, 507, 614, 858, 921, 1014, 1842, 1859, 3377, 3718, 3991, 5577, 6754, 7982, 10131, 11154, 11973, 20262, 23946, 43901, 51883, 87802, 103766, 131703, 155649, 263406, 311298, 570713, 1141426, 1712139, 3424278
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.