Is 2,689,488 a Prime Number?
No, 2,689,488 is not a prime number
Number Properties
- Value:2,689,488
- Number Type:Even, Positive
- Digit Sum:45
- Total Digits:7
- Binary:1010010000100111010000
- Hexadecimal:2909D0
Prime Status
2,689,488 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 32 × 19 × 983
Divisors
Total divisors: 60
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 983, 1368, 1966, 2736, 2949, 3932, 5898, 7864, 8847, 11796, 15728, 17694, 18677, 23592, 35388, 37354, 47184, 56031, 70776, 74708, 112062, 141552, 149416, 168093, 224124, 298832, 336186, 448248, 672372, 896496, 1344744, 2689488
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.