Is 879,480 a Prime Number?
No, 879,480 is not a prime number
Number Properties
- Value:879,480
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:6
- Binary:11010110101101111000
- Hexadecimal:D6B78
Prime Status
879,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 7 × 349
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 349, 360, 420, 504, 630, 698, 840, 1047, 1260, 1396, 1745, 2094, 2443, 2520, 2792, 3141, 3490, 4188, 4886, 5235, 6282, 6980, 7329, 8376, 9772, 10470, 12215, 12564, 13960, 14658, 15705, 19544, 20940, 21987, 24430, 25128, 29316, 31410, 36645, 41880, 43974, 48860, 58632, 62820, 73290, 87948, 97720, 109935, 125640, 146580, 175896, 219870, 293160, 439740, 879480
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.