Is 4,402,440 a Prime Number?
No, 4,402,440 is not a prime number
Number Properties
- Value:4,402,440
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:10000110010110100001000
- Hexadecimal:432D08
Prime Status
4,402,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 7 × 1747
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 1747, 2520, 3494, 5241, 6988, 8735, 10482, 12229, 13976, 15723, 17470, 20964, 24458, 26205, 31446, 34940, 36687, 41928, 48916, 52410, 61145, 62892, 69880, 73374, 78615, 97832, 104820, 110061, 122290, 125784, 146748, 157230, 183435, 209640, 220122, 244580, 293496, 314460, 366870, 440244, 489160, 550305, 628920, 733740, 880488, 1100610, 1467480, 2201220, 4402440
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.