Is 3,455,964 a Prime Number?
No, 3,455,964 is not a prime number
Number Properties
- Value:3,455,964
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101001011101111011100
- Hexadecimal:34BBDC
Prime Status
3,455,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 17 × 5647
Divisors
Total divisors: 36
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612, 5647, 11294, 16941, 22588, 33882, 50823, 67764, 95999, 101646, 191998, 203292, 287997, 383996, 575994, 863991, 1151988, 1727982, 3455964
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.