Is 3,482,416 a Prime Number?
No, 3,482,416 is not a prime number
Number Properties
- Value:3,482,416
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1101010010001100110000
- Hexadecimal:352330
Prime Status
3,482,416 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 17 × 31 × 59
Divisors
Total divisors: 80
1, 2, 4, 7, 8, 14, 16, 17, 28, 31, 34, 56, 59, 62, 68, 112, 118, 119, 124, 136, 217, 236, 238, 248, 272, 413, 434, 472, 476, 496, 527, 826, 868, 944, 952, 1003, 1054, 1652, 1736, 1829, 1904, 2006, 2108, 3304, 3472, 3658, 3689, 4012, 4216, 6608, 7021, 7316, 7378, 8024, 8432, 12803, 14042, 14632, 14756, 16048, 25606, 28084, 29264, 29512, 31093, 51212, 56168, 59024, 62186, 102424, 112336, 124372, 204848, 217651, 248744, 435302, 497488, 870604, 1741208, 3482416
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.