Is 1,077,408 a Prime Number?
No, 1,077,408 is not a prime number
Number Properties
- Value:1,077,408
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:100000111000010100000
- Hexadecimal:1070A0
Prime Status
1,077,408 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 33 × 29 × 43
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 43, 48, 54, 58, 72, 86, 87, 96, 108, 116, 129, 144, 172, 174, 216, 232, 258, 261, 288, 344, 348, 387, 432, 464, 516, 522, 688, 696, 774, 783, 864, 928, 1032, 1044, 1161, 1247, 1376, 1392, 1548, 1566, 2064, 2088, 2322, 2494, 2784, 3096, 3132, 3741, 4128, 4176, 4644, 4988, 6192, 6264, 7482, 8352, 9288, 9976, 11223, 12384, 12528, 14964, 18576, 19952, 22446, 25056, 29928, 33669, 37152, 39904, 44892, 59856, 67338, 89784, 119712, 134676, 179568, 269352, 359136, 538704, 1077408
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.