Is 3,416,742 a Prime Number?
No, 3,416,742 is not a prime number
Number Properties
- Value:3,416,742
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000010001010100110
- Hexadecimal:3422A6
Prime Status
3,416,742 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 34 × 7 × 23 × 131
Divisors
Total divisors: 80
1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 81, 126, 131, 138, 161, 162, 189, 207, 262, 322, 378, 393, 414, 483, 567, 621, 786, 917, 966, 1134, 1179, 1242, 1449, 1834, 1863, 2358, 2751, 2898, 3013, 3537, 3726, 4347, 5502, 6026, 7074, 8253, 8694, 9039, 10611, 13041, 16506, 18078, 21091, 21222, 24759, 26082, 27117, 42182, 49518, 54234, 63273, 74277, 81351, 126546, 148554, 162702, 189819, 244053, 379638, 488106, 569457, 1138914, 1708371, 3416742
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.