Is 4,402,775 a Prime Number?
No, 4,402,775 is not a prime number
Number Properties
- Value:4,402,775
- Number Type:Odd, Positive
- Digit Sum:29
- Total Digits:7
- Binary:10000110010111001010111
- Hexadecimal:432E57
Prime Status
4,402,775 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
52 × 13 × 19 × 23 × 31
Divisors
Total divisors: 48
1, 5, 13, 19, 23, 25, 31, 65, 95, 115, 155, 247, 299, 325, 403, 437, 475, 575, 589, 713, 775, 1235, 1495, 2015, 2185, 2945, 3565, 5681, 6175, 7475, 7657, 9269, 10075, 10925, 13547, 14725, 17825, 28405, 38285, 46345, 67735, 142025, 176111, 191425, 231725, 338675, 880555, 4402775
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.