Is 3,409,008 a Prime Number?
No, 3,409,008 is not a prime number
Number Properties
- Value:3,409,008
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000000010001110000
- Hexadecimal:340470
Prime Status
3,409,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 29 × 31 × 79
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 31, 48, 58, 62, 79, 87, 93, 116, 124, 158, 174, 186, 232, 237, 248, 316, 348, 372, 464, 474, 496, 632, 696, 744, 899, 948, 1264, 1392, 1488, 1798, 1896, 2291, 2449, 2697, 3596, 3792, 4582, 4898, 5394, 6873, 7192, 7347, 9164, 9796, 10788, 13746, 14384, 14694, 18328, 19592, 21576, 27492, 29388, 36656, 39184, 43152, 54984, 58776, 71021, 109968, 117552, 142042, 213063, 284084, 426126, 568168, 852252, 1136336, 1704504, 3409008
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.