Is 3,479,640 a Prime Number?
No, 3,479,640 is not a prime number
Number Properties
- Value:3,479,640
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101010001100001011000
- Hexadecimal:351858
Prime Status
3,479,640 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 107 × 271
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 107, 120, 214, 271, 321, 428, 535, 542, 642, 813, 856, 1070, 1084, 1284, 1355, 1605, 1626, 2140, 2168, 2568, 2710, 3210, 3252, 4065, 4280, 5420, 6420, 6504, 8130, 10840, 12840, 16260, 28997, 32520, 57994, 86991, 115988, 144985, 173982, 231976, 289970, 347964, 434955, 579940, 695928, 869910, 1159880, 1739820, 3479640
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.