Is 3,676,992 a Prime Number?
No, 3,676,992 is not a prime number
Number Properties
- Value:3,676,992
- Number Type:Even, Positive
- Digit Sum:42
- Total Digits:7
- Binary:1110000001101101000000
- Hexadecimal:381B40
Prime Status
3,676,992 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 3 × 11 × 1741
Divisors
Total divisors: 56
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 1741, 2112, 3482, 5223, 6964, 10446, 13928, 19151, 20892, 27856, 38302, 41784, 55712, 57453, 76604, 83568, 111424, 114906, 153208, 167136, 229812, 306416, 334272, 459624, 612832, 919248, 1225664, 1838496, 3676992
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.