Is 3,467,940 a Prime Number?
No, 3,467,940 is not a prime number
Number Properties
- Value:3,467,940
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101001110101010100100
- Hexadecimal:34EAA4
Prime Status
3,467,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 7 × 23 × 359
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 359, 420, 460, 483, 644, 690, 718, 805, 966, 1077, 1380, 1436, 1610, 1795, 1932, 2154, 2415, 2513, 3220, 3590, 4308, 4830, 5026, 5385, 7180, 7539, 8257, 9660, 10052, 10770, 12565, 15078, 16514, 21540, 24771, 25130, 30156, 33028, 37695, 41285, 49542, 50260, 57799, 75390, 82570, 99084, 115598, 123855, 150780, 165140, 173397, 231196, 247710, 288995, 346794, 495420, 577990, 693588, 866985, 1155980, 1733970, 3467940
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.