Is 3,418,740 a Prime Number?
No, 3,418,740 is not a prime number
Number Properties
- Value:3,418,740
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000010101001110100
- Hexadecimal:342A74
Prime Status
3,418,740 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 13 × 487
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 487, 540, 585, 702, 780, 974, 1170, 1404, 1461, 1755, 1948, 2340, 2435, 2922, 3510, 4383, 4870, 5844, 6331, 7020, 7305, 8766, 9740, 12662, 13149, 14610, 17532, 18993, 21915, 25324, 26298, 29220, 31655, 37986, 43830, 52596, 56979, 63310, 65745, 75972, 87660, 94965, 113958, 126620, 131490, 170937, 189930, 227916, 262980, 284895, 341874, 379860, 569790, 683748, 854685, 1139580, 1709370, 3418740
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.