Is 3,738,438 a Prime Number?
No, 3,738,438 is not a prime number
Number Properties
- Value:3,738,438
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110010000101101000110
- Hexadecimal:390B46
Prime Status
3,738,438 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 11 × 79 × 239
Divisors
Total divisors: 48
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 79, 99, 158, 198, 237, 239, 474, 478, 711, 717, 869, 1422, 1434, 1738, 2151, 2607, 2629, 4302, 5214, 5258, 7821, 7887, 15642, 15774, 18881, 23661, 37762, 47322, 56643, 113286, 169929, 207691, 339858, 415382, 623073, 1246146, 1869219, 3738438
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.