Is 3,421,964 a Prime Number?
No, 3,421,964 is not a prime number
Number Properties
- Value:3,421,964
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1101000011011100001100
- Hexadecimal:34370C
Prime Status
3,421,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 72 × 13 × 17 × 79
Divisors
Total divisors: 72
1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 49, 52, 68, 79, 91, 98, 119, 158, 182, 196, 221, 238, 316, 364, 442, 476, 553, 637, 833, 884, 1027, 1106, 1274, 1343, 1547, 1666, 2054, 2212, 2548, 2686, 3094, 3332, 3871, 4108, 5372, 6188, 7189, 7742, 9401, 10829, 14378, 15484, 17459, 18802, 21658, 28756, 34918, 37604, 43316, 50323, 65807, 69836, 100646, 122213, 131614, 201292, 244426, 263228, 488852, 855491, 1710982, 3421964
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.