Is 3,513,825 a Prime Number?
No, 3,513,825 is not a prime number
Number Properties
- Value:3,513,825
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101011001110111100001
- Hexadecimal:359DE1
Prime Status
3,513,825 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 52 × 7 × 23 × 97
Divisors
Total divisors: 72
1, 3, 5, 7, 9, 15, 21, 23, 25, 35, 45, 63, 69, 75, 97, 105, 115, 161, 175, 207, 225, 291, 315, 345, 483, 485, 525, 575, 679, 805, 873, 1035, 1449, 1455, 1575, 1725, 2037, 2231, 2415, 2425, 3395, 4025, 4365, 5175, 6111, 6693, 7245, 7275, 10185, 11155, 12075, 15617, 16975, 20079, 21825, 30555, 33465, 36225, 46851, 50925, 55775, 78085, 100395, 140553, 152775, 167325, 234255, 390425, 501975, 702765, 1171275, 3513825
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.