Is 548,964 a Prime Number?
No, 548,964 is not a prime number
Number Properties
- Value:548,964
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:6
- Binary:10000110000001100100
- Hexadecimal:86064
Prime Status
548,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 13 × 17 × 23
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 23, 26, 27, 34, 36, 39, 46, 51, 52, 54, 68, 69, 78, 92, 102, 108, 117, 138, 153, 156, 204, 207, 221, 234, 276, 299, 306, 351, 391, 414, 442, 459, 468, 598, 612, 621, 663, 702, 782, 828, 884, 897, 918, 1173, 1196, 1242, 1326, 1404, 1564, 1794, 1836, 1989, 2346, 2484, 2652, 2691, 3519, 3588, 3978, 4692, 5083, 5382, 5967, 7038, 7956, 8073, 10166, 10557, 10764, 11934, 14076, 15249, 16146, 20332, 21114, 23868, 30498, 32292, 42228, 45747, 60996, 91494, 137241, 182988, 274482, 548964
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.