Is 462,240 a Prime Number?
No, 462,240 is not a prime number
Number Properties
- Value:462,240
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1110000110110100000
- Hexadecimal:70DA0
Prime Status
462,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 33 × 5 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 107, 108, 120, 135, 144, 160, 180, 214, 216, 240, 270, 288, 321, 360, 428, 432, 480, 535, 540, 642, 720, 856, 864, 963, 1070, 1080, 1284, 1440, 1605, 1712, 1926, 2140, 2160, 2568, 2889, 3210, 3424, 3852, 4280, 4320, 4815, 5136, 5778, 6420, 7704, 8560, 9630, 10272, 11556, 12840, 14445, 15408, 17120, 19260, 23112, 25680, 28890, 30816, 38520, 46224, 51360, 57780, 77040, 92448, 115560, 154080, 231120, 462240
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.