Is 3,446,820 a Prime Number?
No, 3,446,820 is not a prime number
Number Properties
- Value:3,446,820
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101001001100000100100
- Hexadecimal:349824
Prime Status
3,446,820 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 13 × 491
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 491, 540, 585, 702, 780, 982, 1170, 1404, 1473, 1755, 1964, 2340, 2455, 2946, 3510, 4419, 4910, 5892, 6383, 7020, 7365, 8838, 9820, 12766, 13257, 14730, 17676, 19149, 22095, 25532, 26514, 29460, 31915, 38298, 44190, 53028, 57447, 63830, 66285, 76596, 88380, 95745, 114894, 127660, 132570, 172341, 191490, 229788, 265140, 287235, 344682, 382980, 574470, 689364, 861705, 1148940, 1723410, 3446820
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.