Is 2,635,425 a Prime Number?
No, 2,635,425 is not a prime number
Number Properties
- Value:2,635,425
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1010000011011010100001
- Hexadecimal:2836A1
Prime Status
2,635,425 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 52 × 13 × 17 × 53
Divisors
Total divisors: 72
1, 3, 5, 9, 13, 15, 17, 25, 39, 45, 51, 53, 65, 75, 85, 117, 153, 159, 195, 221, 225, 255, 265, 325, 425, 477, 585, 663, 689, 765, 795, 901, 975, 1105, 1275, 1325, 1989, 2067, 2385, 2703, 2925, 3315, 3445, 3825, 3975, 4505, 5525, 6201, 8109, 9945, 10335, 11713, 11925, 13515, 16575, 17225, 22525, 31005, 35139, 40545, 49725, 51675, 58565, 67575, 105417, 155025, 175695, 202725, 292825, 527085, 878475, 2635425
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.