Is 432,480 a Prime Number?
No, 432,480 is not a prime number
Number Properties
- Value:432,480
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:6
- Binary:1101001100101100000
- Hexadecimal:69960
Prime Status
432,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 17 × 53
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 53, 60, 68, 80, 85, 96, 102, 106, 120, 136, 159, 160, 170, 204, 212, 240, 255, 265, 272, 318, 340, 408, 424, 480, 510, 530, 544, 636, 680, 795, 816, 848, 901, 1020, 1060, 1272, 1360, 1590, 1632, 1696, 1802, 2040, 2120, 2544, 2703, 2720, 3180, 3604, 4080, 4240, 4505, 5088, 5406, 6360, 7208, 8160, 8480, 9010, 10812, 12720, 13515, 14416, 18020, 21624, 25440, 27030, 28832, 36040, 43248, 54060, 72080, 86496, 108120, 144160, 216240, 432480
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.