Is 3,429,624 a Prime Number?
No, 3,429,624 is not a prime number
Number Properties
- Value:3,429,624
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101000101010011111000
- Hexadecimal:3454F8
Prime Status
3,429,624 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 112 × 1181
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1181, 1452, 2362, 2904, 3543, 4724, 7086, 9448, 12991, 14172, 25982, 28344, 38973, 51964, 77946, 103928, 142901, 155892, 285802, 311784, 428703, 571604, 857406, 1143208, 1714812, 3429624
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.