Is 1,387,064 a Prime Number?
No, 1,387,064 is not a prime number
Number Properties
- Value:1,387,064
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:101010010101000111000
- Hexadecimal:152A38
Prime Status
1,387,064 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 7 × 17 × 31 × 47
Divisors
Total divisors: 64
1, 2, 4, 7, 8, 14, 17, 28, 31, 34, 47, 56, 62, 68, 94, 119, 124, 136, 188, 217, 238, 248, 329, 376, 434, 476, 527, 658, 799, 868, 952, 1054, 1316, 1457, 1598, 1736, 2108, 2632, 2914, 3196, 3689, 4216, 5593, 5828, 6392, 7378, 10199, 11186, 11656, 14756, 20398, 22372, 24769, 29512, 40796, 44744, 49538, 81592, 99076, 173383, 198152, 346766, 693532, 1387064
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.