Is 2,642,748 a Prime Number?
No, 2,642,748 is not a prime number
Number Properties
- Value:2,642,748
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1010000101001100111100
- Hexadecimal:28533C
Prime Status
2,642,748 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 19 × 67 × 173
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 19, 38, 57, 67, 76, 114, 134, 173, 201, 228, 268, 346, 402, 519, 692, 804, 1038, 1273, 2076, 2546, 3287, 3819, 5092, 6574, 7638, 9861, 11591, 13148, 15276, 19722, 23182, 34773, 39444, 46364, 69546, 139092, 220229, 440458, 660687, 880916, 1321374, 2642748
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.