Is 3,407,976 a Prime Number?
No, 3,407,976 is not a prime number
Number Properties
- Value:3,407,976
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000000000001101000
- Hexadecimal:340068
Prime Status
3,407,976 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 11 × 13 × 331
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 33, 36, 39, 44, 52, 66, 72, 78, 88, 99, 104, 117, 132, 143, 156, 198, 234, 264, 286, 312, 331, 396, 429, 468, 572, 662, 792, 858, 936, 993, 1144, 1287, 1324, 1716, 1986, 2574, 2648, 2979, 3432, 3641, 3972, 4303, 5148, 5958, 7282, 7944, 8606, 10296, 10923, 11916, 12909, 14564, 17212, 21846, 23832, 25818, 29128, 32769, 34424, 38727, 43692, 47333, 51636, 65538, 77454, 87384, 94666, 103272, 131076, 141999, 154908, 189332, 262152, 283998, 309816, 378664, 425997, 567996, 851994, 1135992, 1703988, 3407976
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.