Is 1,007,964 a Prime Number?
No, 1,007,964 is not a prime number
Number Properties
- Value:1,007,964
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:11110110000101011100
- Hexadecimal:F615C
Prime Status
1,007,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 35 × 17 × 61
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 61, 68, 81, 102, 108, 122, 153, 162, 183, 204, 243, 244, 306, 324, 366, 459, 486, 549, 612, 732, 918, 972, 1037, 1098, 1377, 1647, 1836, 2074, 2196, 2754, 3111, 3294, 4131, 4148, 4941, 5508, 6222, 6588, 8262, 9333, 9882, 12444, 14823, 16524, 18666, 19764, 27999, 29646, 37332, 55998, 59292, 83997, 111996, 167994, 251991, 335988, 503982, 1007964
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.