Is 3,688,048 a Prime Number?
No, 3,688,048 is not a prime number
Number Properties
- Value:3,688,048
- Number Type:Even, Positive
- Digit Sum:37
- Total Digits:7
- Binary:1110000100011001110000
- Hexadecimal:384670
Prime Status
3,688,048 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 13 × 17 × 149
Divisors
Total divisors: 80
1, 2, 4, 7, 8, 13, 14, 16, 17, 26, 28, 34, 52, 56, 68, 91, 104, 112, 119, 136, 149, 182, 208, 221, 238, 272, 298, 364, 442, 476, 596, 728, 884, 952, 1043, 1192, 1456, 1547, 1768, 1904, 1937, 2086, 2384, 2533, 3094, 3536, 3874, 4172, 5066, 6188, 7748, 8344, 10132, 12376, 13559, 15496, 16688, 17731, 20264, 24752, 27118, 30992, 32929, 35462, 40528, 54236, 65858, 70924, 108472, 131716, 141848, 216944, 230503, 263432, 283696, 461006, 526864, 922012, 1844024, 3688048
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.