Is 3,996,020 a Prime Number?
No, 3,996,020 is not a prime number
Number Properties
- Value:3,996,020
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1111001111100101110100
- Hexadecimal:3CF974
Prime Status
3,996,020 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 7 × 17 × 23 × 73
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 10, 14, 17, 20, 23, 28, 34, 35, 46, 68, 70, 73, 85, 92, 115, 119, 140, 146, 161, 170, 230, 238, 292, 322, 340, 365, 391, 460, 476, 511, 595, 644, 730, 782, 805, 1022, 1190, 1241, 1460, 1564, 1610, 1679, 1955, 2044, 2380, 2482, 2555, 2737, 3220, 3358, 3910, 4964, 5110, 5474, 6205, 6716, 7820, 8395, 8687, 10220, 10948, 11753, 12410, 13685, 16790, 17374, 23506, 24820, 27370, 28543, 33580, 34748, 43435, 47012, 54740, 57086, 58765, 86870, 114172, 117530, 142715, 173740, 199801, 235060, 285430, 399602, 570860, 799204, 999005, 1998010, 3996020
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.