Is 3,937,424 a Prime Number?
No, 3,937,424 is not a prime number
Number Properties
- Value:3,937,424
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1111000001010010010000
- Hexadecimal:3C1490
Prime Status
3,937,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 43 × 59 × 97
Divisors
Total divisors: 40
1, 2, 4, 8, 16, 43, 59, 86, 97, 118, 172, 194, 236, 344, 388, 472, 688, 776, 944, 1552, 2537, 4171, 5074, 5723, 8342, 10148, 11446, 16684, 20296, 22892, 33368, 40592, 45784, 66736, 91568, 246089, 492178, 984356, 1968712, 3937424
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.