Is 4,744,824 a Prime Number?
No, 4,744,824 is not a prime number
Number Properties
- Value:4,744,824
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:10010000110011001111000
- Hexadecimal:486678
Prime Status
4,744,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 7 × 61 × 463
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 463, 488, 732, 854, 926, 1281, 1389, 1464, 1708, 1852, 2562, 2778, 3241, 3416, 3704, 5124, 5556, 6482, 9723, 10248, 11112, 12964, 19446, 25928, 28243, 38892, 56486, 77784, 84729, 112972, 169458, 197701, 225944, 338916, 395402, 593103, 677832, 790804, 1186206, 1581608, 2372412, 4744824
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.