Is 3,429,140 a Prime Number?
No, 3,429,140 is not a prime number
Number Properties
- Value:3,429,140
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1101000101001100010100
- Hexadecimal:345314
Prime Status
3,429,140 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 112 × 13 × 109
Divisors
Total divisors: 72
1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 109, 110, 121, 130, 143, 218, 220, 242, 260, 286, 436, 484, 545, 572, 605, 715, 1090, 1199, 1210, 1417, 1430, 1573, 2180, 2398, 2420, 2834, 2860, 3146, 4796, 5668, 5995, 6292, 7085, 7865, 11990, 13189, 14170, 15587, 15730, 23980, 26378, 28340, 31174, 31460, 52756, 62348, 65945, 77935, 131890, 155870, 171457, 263780, 311740, 342914, 685828, 857285, 1714570, 3429140
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.