Is 3,496,704 a Prime Number?
No, 3,496,704 is not a prime number
Number Properties
- Value:3,496,704
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101010101101100000000
- Hexadecimal:355B00
Prime Status
3,496,704 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
28 × 3 × 29 × 157
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 128, 157, 174, 192, 232, 256, 314, 348, 384, 464, 471, 628, 696, 768, 928, 942, 1256, 1392, 1856, 1884, 2512, 2784, 3712, 3768, 4553, 5024, 5568, 7424, 7536, 9106, 10048, 11136, 13659, 15072, 18212, 20096, 22272, 27318, 30144, 36424, 40192, 54636, 60288, 72848, 109272, 120576, 145696, 218544, 291392, 437088, 582784, 874176, 1165568, 1748352, 3496704
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.