Is 3,478,596 a Prime Number?
No, 3,478,596 is not a prime number
Number Properties
- Value:3,478,596
- Number Type:Even, Positive
- Digit Sum:42
- Total Digits:7
- Binary:1101010001010001000100
- Hexadecimal:351444
Prime Status
3,478,596 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 11 × 192 × 73
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 73, 76, 114, 132, 146, 209, 219, 228, 292, 361, 418, 438, 627, 722, 803, 836, 876, 1083, 1254, 1387, 1444, 1606, 2166, 2409, 2508, 2774, 3212, 3971, 4161, 4332, 4818, 5548, 7942, 8322, 9636, 11913, 15257, 15884, 16644, 23826, 26353, 30514, 45771, 47652, 52706, 61028, 79059, 91542, 105412, 158118, 183084, 289883, 316236, 579766, 869649, 1159532, 1739298, 3478596
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.