Is 4,002,460 a Prime Number?
No, 4,002,460 is not a prime number
Number Properties
- Value:4,002,460
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:1111010001001010011100
- Hexadecimal:3D129C
Prime Status
4,002,460 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 7 × 11 × 23 × 113
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 23, 28, 35, 44, 46, 55, 70, 77, 92, 110, 113, 115, 140, 154, 161, 220, 226, 230, 253, 308, 322, 385, 452, 460, 506, 565, 644, 770, 791, 805, 1012, 1130, 1243, 1265, 1540, 1582, 1610, 1771, 2260, 2486, 2530, 2599, 3164, 3220, 3542, 3955, 4972, 5060, 5198, 6215, 7084, 7910, 8701, 8855, 10396, 12430, 12995, 15820, 17402, 17710, 18193, 24860, 25990, 28589, 34804, 35420, 36386, 43505, 51980, 57178, 72772, 87010, 90965, 114356, 142945, 174020, 181930, 200123, 285890, 363860, 400246, 571780, 800492, 1000615, 2001230, 4002460
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.