Is 3,736,616 a Prime Number?
No, 3,736,616 is not a prime number
Number Properties
- Value:3,736,616
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1110010000010000101000
- Hexadecimal:390428
Prime Status
3,736,616 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 13 × 19 × 31 × 61
Divisors
Total divisors: 64
1, 2, 4, 8, 13, 19, 26, 31, 38, 52, 61, 62, 76, 104, 122, 124, 152, 244, 247, 248, 403, 488, 494, 589, 793, 806, 988, 1159, 1178, 1586, 1612, 1891, 1976, 2318, 2356, 3172, 3224, 3782, 4636, 4712, 6344, 7564, 7657, 9272, 15067, 15128, 15314, 24583, 30134, 30628, 35929, 49166, 60268, 61256, 71858, 98332, 120536, 143716, 196664, 287432, 467077, 934154, 1868308, 3736616
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.