Is 3,707,964 a Prime Number?
No, 3,707,964 is not a prime number
Number Properties
- Value:3,707,964
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110001001010000111100
- Hexadecimal:38943C
Prime Status
3,707,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 13 × 19 × 139
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 27, 36, 38, 39, 52, 54, 57, 76, 78, 108, 114, 117, 139, 156, 171, 228, 234, 247, 278, 342, 351, 417, 468, 494, 513, 556, 684, 702, 741, 834, 988, 1026, 1251, 1404, 1482, 1668, 1807, 2052, 2223, 2502, 2641, 2964, 3614, 3753, 4446, 5004, 5282, 5421, 6669, 7228, 7506, 7923, 8892, 10564, 10842, 13338, 15012, 15846, 16263, 21684, 23769, 26676, 31692, 32526, 34333, 47538, 48789, 65052, 68666, 71307, 95076, 97578, 102999, 137332, 142614, 195156, 205998, 285228, 308997, 411996, 617994, 926991, 1235988, 1853982, 3707964
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.