Is 4,400,396 a Prime Number?
No, 4,400,396 is not a prime number
Number Properties
- Value:4,400,396
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:10000110010010100001100
- Hexadecimal:43250C
Prime Status
4,400,396 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 72 × 11 × 13 × 157
Divisors
Total divisors: 72
1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 49, 52, 77, 91, 98, 143, 154, 157, 182, 196, 286, 308, 314, 364, 539, 572, 628, 637, 1001, 1078, 1099, 1274, 1727, 2002, 2041, 2156, 2198, 2548, 3454, 4004, 4082, 4396, 6908, 7007, 7693, 8164, 12089, 14014, 14287, 15386, 22451, 24178, 28028, 28574, 30772, 44902, 48356, 57148, 84623, 89804, 100009, 157157, 169246, 200018, 314314, 338492, 400036, 628628, 1100099, 2200198, 4400396
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.