Is 3,412,695 a Prime Number?
No, 3,412,695 is not a prime number
Number Properties
- Value:3,412,695
- Number Type:Odd, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101000001001011010111
- Hexadecimal:3412D7
Prime Status
3,412,695 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 5 × 11 × 13 × 37 × 43
Divisors
Total divisors: 64
1, 3, 5, 11, 13, 15, 33, 37, 39, 43, 55, 65, 111, 129, 143, 165, 185, 195, 215, 407, 429, 473, 481, 555, 559, 645, 715, 1221, 1419, 1443, 1591, 1677, 2035, 2145, 2365, 2405, 2795, 4773, 5291, 6105, 6149, 7095, 7215, 7955, 8385, 15873, 17501, 18447, 20683, 23865, 26455, 30745, 52503, 62049, 79365, 87505, 92235, 103415, 227513, 262515, 310245, 682539, 1137565, 3412695
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.