Is 4,249,740 a Prime Number?
No, 4,249,740 is not a prime number
Number Properties
- Value:4,249,740
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:10000001101100010001100
- Hexadecimal:40D88C
Prime Status
4,249,740 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 11 × 47 × 137
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 47, 55, 60, 66, 94, 110, 132, 137, 141, 165, 188, 220, 235, 274, 282, 330, 411, 470, 517, 548, 564, 660, 685, 705, 822, 940, 1034, 1370, 1410, 1507, 1551, 1644, 2055, 2068, 2585, 2740, 2820, 3014, 3102, 4110, 4521, 5170, 6028, 6204, 6439, 7535, 7755, 8220, 9042, 10340, 12878, 15070, 15510, 18084, 19317, 22605, 25756, 30140, 31020, 32195, 38634, 45210, 64390, 70829, 77268, 90420, 96585, 128780, 141658, 193170, 212487, 283316, 354145, 386340, 424974, 708290, 849948, 1062435, 1416580, 2124870, 4249740
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.