Is 2,704,020 a Prime Number?
No, 2,704,020 is not a prime number
Number Properties
- Value:2,704,020
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1010010100001010010100
- Hexadecimal:294294
Prime Status
2,704,020 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 11 × 17 × 241
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 17, 20, 22, 30, 33, 34, 44, 51, 55, 60, 66, 68, 85, 102, 110, 132, 165, 170, 187, 204, 220, 241, 255, 330, 340, 374, 482, 510, 561, 660, 723, 748, 935, 964, 1020, 1122, 1205, 1446, 1870, 2244, 2410, 2651, 2805, 2892, 3615, 3740, 4097, 4820, 5302, 5610, 7230, 7953, 8194, 10604, 11220, 12291, 13255, 14460, 15906, 16388, 20485, 24582, 26510, 31812, 39765, 40970, 45067, 49164, 53020, 61455, 79530, 81940, 90134, 122910, 135201, 159060, 180268, 225335, 245820, 270402, 450670, 540804, 676005, 901340, 1352010, 2704020
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.