Is 2,749,488 a Prime Number?
No, 2,749,488 is not a prime number
Number Properties
- Value:2,749,488
- Number Type:Even, Positive
- Digit Sum:42
- Total Digits:7
- Binary:1010011111010000110000
- Hexadecimal:29F430
Prime Status
2,749,488 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 73 × 167
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 167, 168, 196, 294, 334, 336, 343, 392, 501, 588, 668, 686, 784, 1002, 1029, 1169, 1176, 1336, 1372, 2004, 2058, 2338, 2352, 2672, 2744, 3507, 4008, 4116, 4676, 5488, 7014, 8016, 8183, 8232, 9352, 14028, 16366, 16464, 18704, 24549, 28056, 32732, 49098, 56112, 57281, 65464, 98196, 114562, 130928, 171843, 196392, 229124, 343686, 392784, 458248, 687372, 916496, 1374744, 2749488
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.