Is 3,455,940 a Prime Number?
No, 3,455,940 is not a prime number
Number Properties
- Value:3,455,940
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101001011101111000100
- Hexadecimal:34BBC4
Prime Status
3,455,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 239 × 241
Divisors
Total divisors: 48
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 239, 241, 478, 482, 717, 723, 956, 964, 1195, 1205, 1434, 1446, 2390, 2410, 2868, 2892, 3585, 3615, 4780, 4820, 7170, 7230, 14340, 14460, 57599, 115198, 172797, 230396, 287995, 345594, 575990, 691188, 863985, 1151980, 1727970, 3455940
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.