Is 3,428,964 a Prime Number?
No, 3,428,964 is not a prime number
Number Properties
- Value:3,428,964
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000101001001100100
- Hexadecimal:345264
Prime Status
3,428,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 11 × 1237
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1237, 1386, 2474, 2772, 3711, 4948, 7422, 8659, 11133, 13607, 14844, 17318, 22266, 25977, 27214, 34636, 40821, 44532, 51954, 54428, 77931, 81642, 95249, 103908, 122463, 155862, 163284, 190498, 244926, 285747, 311724, 380996, 489852, 571494, 857241, 1142988, 1714482, 3428964
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.