Is 3,733,002 a Prime Number?
No, 3,733,002 is not a prime number
Number Properties
- Value:3,733,002
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1110001111011000001010
- Hexadecimal:38F60A
Prime Status
3,733,002 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 7 × 13 × 43 × 53
Divisors
Total divisors: 96
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 43, 53, 63, 78, 86, 91, 106, 117, 126, 129, 159, 182, 234, 258, 273, 301, 318, 371, 387, 477, 546, 559, 602, 689, 742, 774, 819, 903, 954, 1113, 1118, 1378, 1638, 1677, 1806, 2067, 2226, 2279, 2709, 3339, 3354, 3913, 4134, 4558, 4823, 5031, 5418, 6201, 6678, 6837, 7826, 9646, 10062, 11739, 12402, 13674, 14469, 15953, 20511, 23478, 28938, 29627, 31906, 35217, 41022, 43407, 47859, 59254, 70434, 86814, 88881, 95718, 143577, 177762, 207389, 266643, 287154, 414778, 533286, 622167, 1244334, 1866501, 3733002
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.