Is 988,400 a Prime Number?
No, 988,400 is not a prime number
Number Properties
- Value:988,400
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:6
- Binary:11110001010011110000
- Hexadecimal:F14F0
Prime Status
988,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 52 × 7 × 353
Divisors
Total divisors: 60
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 353, 400, 560, 700, 706, 1400, 1412, 1765, 2471, 2800, 2824, 3530, 4942, 5648, 7060, 8825, 9884, 12355, 14120, 17650, 19768, 24710, 28240, 35300, 39536, 49420, 61775, 70600, 98840, 123550, 141200, 197680, 247100, 494200, 988400
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.