Is 3,432,940 a Prime Number?
No, 3,432,940 is not a prime number
Number Properties
- Value:3,432,940
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1101000110000111101100
- Hexadecimal:3461EC
Prime Status
3,432,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 72 × 31 × 113
Divisors
Total divisors: 72
1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 49, 62, 70, 98, 113, 124, 140, 155, 196, 217, 226, 245, 310, 434, 452, 490, 565, 620, 791, 868, 980, 1085, 1130, 1519, 1582, 2170, 2260, 3038, 3164, 3503, 3955, 4340, 5537, 6076, 7006, 7595, 7910, 11074, 14012, 15190, 15820, 17515, 22148, 24521, 27685, 30380, 35030, 49042, 55370, 70060, 98084, 110740, 122605, 171647, 245210, 343294, 490420, 686588, 858235, 1716470, 3432940
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.