Is 3,996,564 a Prime Number?
No, 3,996,564 is not a prime number
Number Properties
- Value:3,996,564
- Number Type:Even, Positive
- Digit Sum:42
- Total Digits:7
- Binary:1111001111101110010100
- Hexadecimal:3CFB94
Prime Status
3,996,564 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 11 × 13 × 17 × 137
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 11, 12, 13, 17, 22, 26, 33, 34, 39, 44, 51, 52, 66, 68, 78, 102, 132, 137, 143, 156, 187, 204, 221, 274, 286, 374, 411, 429, 442, 548, 561, 572, 663, 748, 822, 858, 884, 1122, 1326, 1507, 1644, 1716, 1781, 2244, 2329, 2431, 2652, 3014, 3562, 4521, 4658, 4862, 5343, 6028, 6987, 7124, 7293, 9042, 9316, 9724, 10686, 13974, 14586, 18084, 19591, 21372, 25619, 27948, 29172, 30277, 39182, 51238, 58773, 60554, 76857, 78364, 90831, 102476, 117546, 121108, 153714, 181662, 235092, 307428, 333047, 363324, 666094, 999141, 1332188, 1998282, 3996564
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.