Is 3,429,720 a Prime Number?
No, 3,429,720 is not a prime number
Number Properties
- Value:3,429,720
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000101010101011000
- Hexadecimal:345558
Prime Status
3,429,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 7 × 1361
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 1361, 2520, 2722, 4083, 5444, 6805, 8166, 9527, 10888, 12249, 13610, 16332, 19054, 20415, 24498, 27220, 28581, 32664, 38108, 40830, 47635, 48996, 54440, 57162, 61245, 76216, 81660, 85743, 95270, 97992, 114324, 122490, 142905, 163320, 171486, 190540, 228648, 244980, 285810, 342972, 381080, 428715, 489960, 571620, 685944, 857430, 1143240, 1714860, 3429720
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.