Is 3,422,440 a Prime Number?
No, 3,422,440 is not a prime number
Number Properties
- Value:3,422,440
- Number Type:Even, Positive
- Digit Sum:19
- Total Digits:7
- Binary:1101000011100011101000
- Hexadecimal:3438E8
Prime Status
3,422,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 7 × 17 × 719
Divisors
Total divisors: 64
1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 719, 952, 1190, 1438, 2380, 2876, 3595, 4760, 5033, 5752, 7190, 10066, 12223, 14380, 20132, 24446, 25165, 28760, 40264, 48892, 50330, 61115, 85561, 97784, 100660, 122230, 171122, 201320, 244460, 342244, 427805, 488920, 684488, 855610, 1711220, 3422440
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.