Is 3,474,030 a Prime Number?
No, 3,474,030 is not a prime number
Number Properties
- Value:3,474,030
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101010000001001101110
- Hexadecimal:35026E
Prime Status
3,474,030 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 7 × 71 × 233
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 71, 105, 142, 210, 213, 233, 355, 426, 466, 497, 699, 710, 994, 1065, 1165, 1398, 1491, 1631, 2130, 2330, 2485, 2982, 3262, 3495, 4893, 4970, 6990, 7455, 8155, 9786, 14910, 16310, 16543, 24465, 33086, 48930, 49629, 82715, 99258, 115801, 165430, 231602, 248145, 347403, 496290, 579005, 694806, 1158010, 1737015, 3474030
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.