Is 2,428,470 a Prime Number?
No, 2,428,470 is not a prime number
Number Properties
- Value:2,428,470
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1001010000111000110110
- Hexadecimal:250E36
Prime Status
2,428,470 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 112 × 223
Divisors
Total divisors: 72
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 121, 165, 198, 223, 242, 330, 363, 446, 495, 605, 669, 726, 990, 1089, 1115, 1210, 1338, 1815, 2007, 2178, 2230, 2453, 3345, 3630, 4014, 4906, 5445, 6690, 7359, 10035, 10890, 12265, 14718, 20070, 22077, 24530, 26983, 36795, 44154, 53966, 73590, 80949, 110385, 134915, 161898, 220770, 242847, 269830, 404745, 485694, 809490, 1214235, 2428470
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.