Is 428,040 a Prime Number?
No, 428,040 is not a prime number
Number Properties
- Value:428,040
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1101000100000001000
- Hexadecimal:68808
Prime Status
428,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 29 × 41
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 29, 30, 36, 40, 41, 45, 58, 60, 72, 82, 87, 90, 116, 120, 123, 145, 164, 174, 180, 205, 232, 246, 261, 290, 328, 348, 360, 369, 410, 435, 492, 522, 580, 615, 696, 738, 820, 870, 984, 1044, 1160, 1189, 1230, 1305, 1476, 1640, 1740, 1845, 2088, 2378, 2460, 2610, 2952, 3480, 3567, 3690, 4756, 4920, 5220, 5945, 7134, 7380, 9512, 10440, 10701, 11890, 14268, 14760, 17835, 21402, 23780, 28536, 35670, 42804, 47560, 53505, 71340, 85608, 107010, 142680, 214020, 428040
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.