Is 4,180,428 a Prime Number?
No, 4,180,428 is not a prime number
Number Properties
- Value:4,180,428
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111111100100111001100
- Hexadecimal:3FC9CC
Prime Status
4,180,428 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 53 × 313
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 84, 106, 126, 159, 212, 252, 313, 318, 371, 477, 626, 636, 742, 939, 954, 1113, 1252, 1484, 1878, 1908, 2191, 2226, 2817, 3339, 3756, 4382, 4452, 5634, 6573, 6678, 8764, 11268, 13146, 13356, 16589, 19719, 26292, 33178, 39438, 49767, 66356, 78876, 99534, 116123, 149301, 199068, 232246, 298602, 348369, 464492, 597204, 696738, 1045107, 1393476, 2090214, 4180428
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.