Is 3,749,724 a Prime Number?
No, 3,749,724 is not a prime number
Number Properties
- Value:3,749,724
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110010011011101011100
- Hexadecimal:39375C
Prime Status
3,749,724 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 17 × 557
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 557, 561, 612, 748, 1114, 1122, 1671, 1683, 2228, 2244, 3342, 3366, 5013, 6127, 6684, 6732, 9469, 10026, 12254, 18381, 18938, 20052, 24508, 28407, 36762, 37876, 55143, 56814, 73524, 85221, 104159, 110286, 113628, 170442, 208318, 220572, 312477, 340884, 416636, 624954, 937431, 1249908, 1874862, 3749724
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.