Is 3,428,628 a Prime Number?
No, 3,428,628 is not a prime number
Number Properties
- Value:3,428,628
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101000101000100010100
- Hexadecimal:345114
Prime Status
3,428,628 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 75 × 17
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 343, 357, 476, 588, 686, 714, 833, 1029, 1372, 1428, 1666, 2058, 2401, 2499, 3332, 4116, 4802, 4998, 5831, 7203, 9604, 9996, 11662, 14406, 16807, 17493, 23324, 28812, 33614, 34986, 40817, 50421, 67228, 69972, 81634, 100842, 122451, 163268, 201684, 244902, 285719, 489804, 571438, 857157, 1142876, 1714314, 3428628
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.