Is 3,425,688 a Prime Number?
No, 3,425,688 is not a prime number
Number Properties
- Value:3,425,688
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000100010110011000
- Hexadecimal:344598
Prime Status
3,425,688 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 72 × 971
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 971, 1176, 1764, 1942, 2913, 3528, 3884, 5826, 6797, 7768, 8739, 11652, 13594, 17478, 20391, 23304, 27188, 34956, 40782, 47579, 54376, 61173, 69912, 81564, 95158, 122346, 142737, 163128, 190316, 244692, 285474, 380632, 428211, 489384, 570948, 856422, 1141896, 1712844, 3425688
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.