Is 3,676,470 a Prime Number?
No, 3,676,470 is not a prime number
Number Properties
- Value:3,676,470
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1110000001100100110110
- Hexadecimal:381936
Prime Status
3,676,470 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 72 × 41 × 61
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 49, 61, 70, 82, 98, 105, 122, 123, 147, 183, 205, 210, 245, 246, 287, 294, 305, 366, 410, 427, 490, 574, 610, 615, 735, 854, 861, 915, 1230, 1281, 1435, 1470, 1722, 1830, 2009, 2135, 2501, 2562, 2870, 2989, 4018, 4270, 4305, 5002, 5978, 6027, 6405, 7503, 8610, 8967, 10045, 12054, 12505, 12810, 14945, 15006, 17507, 17934, 20090, 25010, 29890, 30135, 35014, 37515, 44835, 52521, 60270, 75030, 87535, 89670, 105042, 122549, 175070, 245098, 262605, 367647, 525210, 612745, 735294, 1225490, 1838235, 3676470
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.