Is 3,744,104 a Prime Number?
No, 3,744,104 is not a prime number
Number Properties
- Value:3,744,104
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1110010010000101101000
- Hexadecimal:392168
Prime Status
3,744,104 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 7 × 13 × 37 × 139
Divisors
Total divisors: 64
1, 2, 4, 7, 8, 13, 14, 26, 28, 37, 52, 56, 74, 91, 104, 139, 148, 182, 259, 278, 296, 364, 481, 518, 556, 728, 962, 973, 1036, 1112, 1807, 1924, 1946, 2072, 3367, 3614, 3848, 3892, 5143, 6734, 7228, 7784, 10286, 12649, 13468, 14456, 20572, 25298, 26936, 36001, 41144, 50596, 66859, 72002, 101192, 133718, 144004, 267436, 288008, 468013, 534872, 936026, 1872052, 3744104
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.