Is 3,736,005 a Prime Number?
No, 3,736,005 is not a prime number
Number Properties
- Value:3,736,005
- Number Type:Odd, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1110010000000111000101
- Hexadecimal:3901C5
Prime Status
3,736,005 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 5 × 72 × 13 × 17 × 23
Divisors
Total divisors: 96
1, 3, 5, 7, 13, 15, 17, 21, 23, 35, 39, 49, 51, 65, 69, 85, 91, 105, 115, 119, 147, 161, 195, 221, 245, 255, 273, 299, 345, 357, 391, 455, 483, 595, 637, 663, 735, 805, 833, 897, 1105, 1127, 1173, 1365, 1495, 1547, 1785, 1911, 1955, 2093, 2415, 2499, 2737, 3185, 3315, 3381, 4165, 4485, 4641, 5083, 5635, 5865, 6279, 7735, 8211, 9555, 10465, 10829, 12495, 13685, 14651, 15249, 16905, 19159, 23205, 25415, 31395, 32487, 35581, 41055, 43953, 54145, 57477, 73255, 76245, 95795, 106743, 162435, 177905, 219765, 249067, 287385, 533715, 747201, 1245335, 3736005
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.