Is 3,428,502 a Prime Number?
No, 3,428,502 is not a prime number
Number Properties
- Value:3,428,502
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000101000010010110
- Hexadecimal:345096
Prime Status
3,428,502 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 7 × 11 × 41 × 181
Divisors
Total divisors: 64
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 41, 42, 66, 77, 82, 123, 154, 181, 231, 246, 287, 362, 451, 462, 543, 574, 861, 902, 1086, 1267, 1353, 1722, 1991, 2534, 2706, 3157, 3801, 3982, 5973, 6314, 7421, 7602, 9471, 11946, 13937, 14842, 18942, 22263, 27874, 41811, 44526, 51947, 81631, 83622, 103894, 155841, 163262, 244893, 311682, 489786, 571417, 1142834, 1714251, 3428502
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.