Is 3,743,424 a Prime Number?
No, 3,743,424 is not a prime number
Number Properties
- Value:3,743,424
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110010001111011000000
- Hexadecimal:391EC0
Prime Status
3,743,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 32 × 67 × 97
Divisors
Total divisors: 84
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 67, 72, 96, 97, 134, 144, 192, 194, 201, 268, 288, 291, 388, 402, 536, 576, 582, 603, 776, 804, 873, 1072, 1164, 1206, 1552, 1608, 1746, 2144, 2328, 2412, 3104, 3216, 3492, 4288, 4656, 4824, 6208, 6432, 6499, 6984, 9312, 9648, 12864, 12998, 13968, 18624, 19296, 19497, 25996, 27936, 38592, 38994, 51992, 55872, 58491, 77988, 103984, 116982, 155976, 207968, 233964, 311952, 415936, 467928, 623904, 935856, 1247808, 1871712, 3743424
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.