Is 3,431,628 a Prime Number?
No, 3,431,628 is not a prime number
Number Properties
- Value:3,431,628
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000101110011001100
- Hexadecimal:345CCC
Prime Status
3,431,628 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 19 × 29 × 173
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 18, 19, 29, 36, 38, 57, 58, 76, 87, 114, 116, 171, 173, 174, 228, 261, 342, 346, 348, 519, 522, 551, 684, 692, 1038, 1044, 1102, 1557, 1653, 2076, 2204, 3114, 3287, 3306, 4959, 5017, 6228, 6574, 6612, 9861, 9918, 10034, 13148, 15051, 19722, 19836, 20068, 29583, 30102, 39444, 45153, 59166, 60204, 90306, 95323, 118332, 180612, 190646, 285969, 381292, 571938, 857907, 1143876, 1715814, 3431628
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.