Is 3,700,008 a Prime Number?
No, 3,700,008 is not a prime number
Number Properties
- Value:3,700,008
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1110000111010100101000
- Hexadecimal:387528
Prime Status
3,700,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 13 × 59 × 67
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 59, 67, 72, 78, 104, 117, 118, 134, 156, 177, 201, 234, 236, 268, 312, 354, 402, 468, 472, 531, 536, 603, 708, 767, 804, 871, 936, 1062, 1206, 1416, 1534, 1608, 1742, 2124, 2301, 2412, 2613, 3068, 3484, 3953, 4248, 4602, 4824, 5226, 6136, 6903, 6968, 7839, 7906, 9204, 10452, 11859, 13806, 15678, 15812, 18408, 20904, 23718, 27612, 31356, 31624, 35577, 47436, 51389, 55224, 62712, 71154, 94872, 102778, 142308, 154167, 205556, 284616, 308334, 411112, 462501, 616668, 925002, 1233336, 1850004, 3700008
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.