Is 3,496,240 a Prime Number?
No, 3,496,240 is not a prime number
Number Properties
- Value:3,496,240
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1101010101100100110000
- Hexadecimal:355930
Prime Status
3,496,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 11 × 29 × 137
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 40, 44, 55, 58, 80, 88, 110, 116, 137, 145, 176, 220, 232, 274, 290, 319, 440, 464, 548, 580, 638, 685, 880, 1096, 1160, 1276, 1370, 1507, 1595, 2192, 2320, 2552, 2740, 3014, 3190, 3973, 5104, 5480, 6028, 6380, 7535, 7946, 10960, 12056, 12760, 15070, 15892, 19865, 24112, 25520, 30140, 31784, 39730, 43703, 60280, 63568, 79460, 87406, 120560, 158920, 174812, 218515, 317840, 349624, 437030, 699248, 874060, 1748120, 3496240
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.