Is 4,367,748 a Prime Number?
No, 4,367,748 is not a prime number
Number Properties
- Value:4,367,748
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:10000101010010110000100
- Hexadecimal:42A584
Prime Status
4,367,748 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 11 × 29 × 163
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 29, 33, 42, 44, 58, 66, 77, 84, 87, 116, 132, 154, 163, 174, 203, 231, 308, 319, 326, 348, 406, 462, 489, 609, 638, 652, 812, 924, 957, 978, 1141, 1218, 1276, 1793, 1914, 1956, 2233, 2282, 2436, 3423, 3586, 3828, 4466, 4564, 4727, 5379, 6699, 6846, 7172, 8932, 9454, 10758, 12551, 13398, 13692, 14181, 18908, 21516, 25102, 26796, 28362, 33089, 37653, 50204, 51997, 56724, 66178, 75306, 99267, 103994, 132356, 150612, 155991, 198534, 207988, 311982, 363979, 397068, 623964, 727958, 1091937, 1455916, 2183874, 4367748
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.