Is 3,421,764 a Prime Number?
No, 3,421,764 is not a prime number
Number Properties
- Value:3,421,764
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000011011001000100
- Hexadecimal:343644
Prime Status
3,421,764 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 34 × 59 × 179
Divisors
Total divisors: 60
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162, 177, 179, 236, 324, 354, 358, 531, 537, 708, 716, 1062, 1074, 1593, 1611, 2124, 2148, 3186, 3222, 4779, 4833, 6372, 6444, 9558, 9666, 10561, 14499, 19116, 19332, 21122, 28998, 31683, 42244, 57996, 63366, 95049, 126732, 190098, 285147, 380196, 570294, 855441, 1140588, 1710882, 3421764
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.