Is 4,209,504 a Prime Number?
No, 4,209,504 is not a prime number
Number Properties
- Value:4,209,504
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:10000000011101101100000
- Hexadecimal:403B60
Prime Status
4,209,504 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 13 × 3373
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248, 3373, 6746, 10119, 13492, 20238, 26984, 40476, 43849, 53968, 80952, 87698, 107936, 131547, 161904, 175396, 263094, 323808, 350792, 526188, 701584, 1052376, 1403168, 2104752, 4209504
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.