Is 3,676,140 a Prime Number?
No, 3,676,140 is not a prime number
Number Properties
- Value:3,676,140
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110000001011111101100
- Hexadecimal:3817EC
Prime Status
3,676,140 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 13 × 1571
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 1571, 2340, 3142, 4713, 6284, 7855, 9426, 14139, 15710, 18852, 20423, 23565, 28278, 31420, 40846, 47130, 56556, 61269, 70695, 81692, 94260, 102115, 122538, 141390, 183807, 204230, 245076, 282780, 306345, 367614, 408460, 612690, 735228, 919035, 1225380, 1838070, 3676140
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.