Is 4,428,704 a Prime Number?
No, 4,428,704 is not a prime number
Number Properties
- Value:4,428,704
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:10000111001001110100000
- Hexadecimal:4393A0
Prime Status
4,428,704 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 7 × 17 × 1163
Divisors
Total divisors: 48
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1163, 1904, 2326, 3808, 4652, 8141, 9304, 16282, 18608, 19771, 32564, 37216, 39542, 65128, 79084, 130256, 138397, 158168, 260512, 276794, 316336, 553588, 632672, 1107176, 2214352, 4428704
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.