Is 2,642,040 a Prime Number?
No, 2,642,040 is not a prime number
Number Properties
- Value:2,642,040
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1010000101000001111000
- Hexadecimal:285078
Prime Status
2,642,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 41 × 179
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 41, 45, 60, 72, 82, 90, 120, 123, 164, 179, 180, 205, 246, 328, 358, 360, 369, 410, 492, 537, 615, 716, 738, 820, 895, 984, 1074, 1230, 1432, 1476, 1611, 1640, 1790, 1845, 2148, 2460, 2685, 2952, 3222, 3580, 3690, 4296, 4920, 5370, 6444, 7160, 7339, 7380, 8055, 10740, 12888, 14678, 14760, 16110, 21480, 22017, 29356, 32220, 36695, 44034, 58712, 64440, 66051, 73390, 88068, 110085, 132102, 146780, 176136, 220170, 264204, 293560, 330255, 440340, 528408, 660510, 880680, 1321020, 2642040
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.