Is 4,024,713 a Prime Number?
No, 4,024,713 is not a prime number
Number Properties
- Value:4,024,713
- Number Type:Odd, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1111010110100110001001
- Hexadecimal:3D6989
Prime Status
4,024,713 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 72 × 11 × 19 × 131
Divisors
Total divisors: 48
1, 3, 7, 11, 19, 21, 33, 49, 57, 77, 131, 133, 147, 209, 231, 393, 399, 539, 627, 917, 931, 1441, 1463, 1617, 2489, 2751, 2793, 4323, 4389, 6419, 7467, 10087, 10241, 17423, 19257, 27379, 30261, 30723, 52269, 70609, 82137, 121961, 191653, 211827, 365883, 574959, 1341571, 4024713
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.