Is 3,501,720 a Prime Number?
No, 3,501,720 is not a prime number
Number Properties
- Value:3,501,720
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101010110111010011000
- Hexadecimal:356E98
Prime Status
3,501,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 71 × 137
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 71, 72, 90, 120, 137, 142, 180, 213, 274, 284, 355, 360, 411, 426, 548, 568, 639, 685, 710, 822, 852, 1065, 1096, 1233, 1278, 1370, 1420, 1644, 1704, 2055, 2130, 2466, 2556, 2740, 2840, 3195, 3288, 4110, 4260, 4932, 5112, 5480, 6165, 6390, 8220, 8520, 9727, 9864, 12330, 12780, 16440, 19454, 24660, 25560, 29181, 38908, 48635, 49320, 58362, 77816, 87543, 97270, 116724, 145905, 175086, 194540, 233448, 291810, 350172, 389080, 437715, 583620, 700344, 875430, 1167240, 1750860, 3501720
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.