Is 3,609,640 a Prime Number?
No, 3,609,640 is not a prime number
Number Properties
- Value:3,609,640
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1101110001010000101000
- Hexadecimal:371428
Prime Status
3,609,640 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 31 × 41 × 71
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 20, 31, 40, 41, 62, 71, 82, 124, 142, 155, 164, 205, 248, 284, 310, 328, 355, 410, 568, 620, 710, 820, 1240, 1271, 1420, 1640, 2201, 2542, 2840, 2911, 4402, 5084, 5822, 6355, 8804, 10168, 11005, 11644, 12710, 14555, 17608, 22010, 23288, 25420, 29110, 44020, 50840, 58220, 88040, 90241, 116440, 180482, 360964, 451205, 721928, 902410, 1804820, 3609640
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.