Is 3,738,735 a Prime Number?
No, 3,738,735 is not a prime number
Number Properties
- Value:3,738,735
- Number Type:Odd, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110010000110001101111
- Hexadecimal:390C6F
Prime Status
3,738,735 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 5 × 7 × 11 × 13 × 83
Divisors
Total divisors: 96
1, 3, 5, 7, 9, 11, 13, 15, 21, 33, 35, 39, 45, 55, 63, 65, 77, 83, 91, 99, 105, 117, 143, 165, 195, 231, 249, 273, 315, 385, 415, 429, 455, 495, 581, 585, 693, 715, 747, 819, 913, 1001, 1079, 1155, 1245, 1287, 1365, 1743, 2145, 2739, 2905, 3003, 3237, 3465, 3735, 4095, 4565, 5005, 5229, 5395, 6391, 6435, 7553, 8217, 8715, 9009, 9711, 11869, 13695, 15015, 16185, 19173, 22659, 26145, 31955, 35607, 37765, 41085, 45045, 48555, 57519, 59345, 67977, 83083, 95865, 106821, 113295, 178035, 249249, 287595, 339885, 415415, 534105, 747747, 1246245, 3738735
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.