Is 3,664,640 a Prime Number?
No, 3,664,640 is not a prime number
Number Properties
- Value:3,664,640
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1101111110101100000000
- Hexadecimal:37EB00
Prime Status
3,664,640 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
28 × 5 × 7 × 409
Divisors
Total divisors: 72
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 409, 448, 560, 640, 818, 896, 1120, 1280, 1636, 1792, 2045, 2240, 2863, 3272, 4090, 4480, 5726, 6544, 8180, 8960, 11452, 13088, 14315, 16360, 22904, 26176, 28630, 32720, 45808, 52352, 57260, 65440, 91616, 104704, 114520, 130880, 183232, 229040, 261760, 366464, 458080, 523520, 732928, 916160, 1832320, 3664640
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.