Is 4,089,240 a Prime Number?
No, 4,089,240 is not a prime number
Number Properties
- Value:4,089,240
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111100110010110011000
- Hexadecimal:3E6598
Prime Status
4,089,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 37 × 307
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 37, 40, 45, 60, 72, 74, 90, 111, 120, 148, 180, 185, 222, 296, 307, 333, 360, 370, 444, 555, 614, 666, 740, 888, 921, 1110, 1228, 1332, 1480, 1535, 1665, 1842, 2220, 2456, 2664, 2763, 3070, 3330, 3684, 4440, 4605, 5526, 6140, 6660, 7368, 9210, 11052, 11359, 12280, 13320, 13815, 18420, 22104, 22718, 27630, 34077, 36840, 45436, 55260, 56795, 68154, 90872, 102231, 110520, 113590, 136308, 170385, 204462, 227180, 272616, 340770, 408924, 454360, 511155, 681540, 817848, 1022310, 1363080, 2044620, 4089240
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.