Is 3,417,804 a Prime Number?
No, 3,417,804 is not a prime number
Number Properties
- Value:3,417,804
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000010011011001100
- Hexadecimal:3426CC
Prime Status
3,417,804 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 13 × 67 × 109
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 67, 78, 109, 117, 134, 156, 201, 218, 234, 268, 327, 402, 436, 468, 603, 654, 804, 871, 981, 1206, 1308, 1417, 1742, 1962, 2412, 2613, 2834, 3484, 3924, 4251, 5226, 5668, 7303, 7839, 8502, 10452, 12753, 14606, 15678, 17004, 21909, 25506, 29212, 31356, 43818, 51012, 65727, 87636, 94939, 131454, 189878, 262908, 284817, 379756, 569634, 854451, 1139268, 1708902, 3417804
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.