Is 4,479,748 a Prime Number?
No, 4,479,748 is not a prime number
Number Properties
- Value:4,479,748
- Number Type:Even, Positive
- Digit Sum:43
- Total Digits:7
- Binary:10001000101101100000100
- Hexadecimal:445B04
Prime Status
4,479,748 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 13 × 31 × 397
Divisors
Total divisors: 48
1, 2, 4, 7, 13, 14, 26, 28, 31, 52, 62, 91, 124, 182, 217, 364, 397, 403, 434, 794, 806, 868, 1588, 1612, 2779, 2821, 5161, 5558, 5642, 10322, 11116, 11284, 12307, 20644, 24614, 36127, 49228, 72254, 86149, 144508, 159991, 172298, 319982, 344596, 639964, 1119937, 2239874, 4479748
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.