Is 3,648,736 a Prime Number?
No, 3,648,736 is not a prime number
Number Properties
- Value:3,648,736
- Number Type:Even, Positive
- Digit Sum:37
- Total Digits:7
- Binary:1101111010110011100000
- Hexadecimal:37ACE0
Prime Status
3,648,736 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 72 × 13 × 179
Divisors
Total divisors: 72
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 179, 182, 196, 208, 224, 358, 364, 392, 416, 637, 716, 728, 784, 1253, 1274, 1432, 1456, 1568, 2327, 2506, 2548, 2864, 2912, 4654, 5012, 5096, 5728, 8771, 9308, 10024, 10192, 16289, 17542, 18616, 20048, 20384, 32578, 35084, 37232, 40096, 65156, 70168, 74464, 114023, 130312, 140336, 228046, 260624, 280672, 456092, 521248, 912184, 1824368, 3648736
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.