Is 3,425,976 a Prime Number?
No, 3,425,976 is not a prime number
Number Properties
- Value:3,425,976
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000100011010111000
- Hexadecimal:3446B8
Prime Status
3,425,976 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 34 × 17 × 311
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 81, 102, 108, 136, 153, 162, 204, 216, 306, 311, 324, 408, 459, 612, 622, 648, 918, 933, 1224, 1244, 1377, 1836, 1866, 2488, 2754, 2799, 3672, 3732, 5287, 5508, 5598, 7464, 8397, 10574, 11016, 11196, 15861, 16794, 21148, 22392, 25191, 31722, 33588, 42296, 47583, 50382, 63444, 67176, 95166, 100764, 126888, 142749, 190332, 201528, 285498, 380664, 428247, 570996, 856494, 1141992, 1712988, 3425976
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.