Is 3,496,760 a Prime Number?
No, 3,496,760 is not a prime number
Number Properties
- Value:3,496,760
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1101010101101100111000
- Hexadecimal:355B38
Prime Status
3,496,760 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 19 × 43 × 107
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 43, 76, 86, 95, 107, 152, 172, 190, 214, 215, 344, 380, 428, 430, 535, 760, 817, 856, 860, 1070, 1634, 1720, 2033, 2140, 3268, 4066, 4085, 4280, 4601, 6536, 8132, 8170, 9202, 10165, 16264, 16340, 18404, 20330, 23005, 32680, 36808, 40660, 46010, 81320, 87419, 92020, 174838, 184040, 349676, 437095, 699352, 874190, 1748380, 3496760
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.