Is 2,741,424 a Prime Number?
No, 2,741,424 is not a prime number
Number Properties
- Value:2,741,424
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1010011101010010110000
- Hexadecimal:29D4B0
Prime Status
2,741,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 7 × 41 × 199
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 41, 42, 48, 56, 82, 84, 112, 123, 164, 168, 199, 246, 287, 328, 336, 398, 492, 574, 597, 656, 796, 861, 984, 1148, 1194, 1393, 1592, 1722, 1968, 2296, 2388, 2786, 3184, 3444, 4179, 4592, 4776, 5572, 6888, 8159, 8358, 9552, 11144, 13776, 16318, 16716, 22288, 24477, 32636, 33432, 48954, 57113, 65272, 66864, 97908, 114226, 130544, 171339, 195816, 228452, 342678, 391632, 456904, 685356, 913808, 1370712, 2741424
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.