Is 974,988 a Prime Number?
No, 974,988 is not a prime number
Number Properties
- Value:974,988
- Number Type:Even, Positive
- Digit Sum:45
- Total Digits:6
- Binary:11101110000010001100
- Hexadecimal:EE08C
Prime Status
974,988 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 53 × 73
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 73, 84, 106, 126, 146, 159, 212, 219, 252, 292, 318, 371, 438, 477, 511, 636, 657, 742, 876, 954, 1022, 1113, 1314, 1484, 1533, 1908, 2044, 2226, 2628, 3066, 3339, 3869, 4452, 4599, 6132, 6678, 7738, 9198, 11607, 13356, 15476, 18396, 23214, 27083, 34821, 46428, 54166, 69642, 81249, 108332, 139284, 162498, 243747, 324996, 487494, 974988
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.