Is 2,474,940 a Prime Number?
No, 2,474,940 is not a prime number
Number Properties
- Value:2,474,940
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1001011100001110111100
- Hexadecimal:25C3BC
Prime Status
2,474,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 13 × 19 × 167
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 19, 20, 26, 30, 38, 39, 52, 57, 60, 65, 76, 78, 95, 114, 130, 156, 167, 190, 195, 228, 247, 260, 285, 334, 380, 390, 494, 501, 570, 668, 741, 780, 835, 988, 1002, 1140, 1235, 1482, 1670, 2004, 2171, 2470, 2505, 2964, 3173, 3340, 3705, 4342, 4940, 5010, 6346, 6513, 7410, 8684, 9519, 10020, 10855, 12692, 13026, 14820, 15865, 19038, 21710, 26052, 31730, 32565, 38076, 41249, 43420, 47595, 63460, 65130, 82498, 95190, 123747, 130260, 164996, 190380, 206245, 247494, 412490, 494988, 618735, 824980, 1237470, 2474940
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.