Is 3,537,720 a Prime Number?
No, 3,537,720 is not a prime number
Number Properties
- Value:3,537,720
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101011111101100111000
- Hexadecimal:35FB38
Prime Status
3,537,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 31 × 317
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 120, 124, 155, 180, 186, 248, 279, 310, 317, 360, 372, 465, 558, 620, 634, 744, 930, 951, 1116, 1240, 1268, 1395, 1585, 1860, 1902, 2232, 2536, 2790, 2853, 3170, 3720, 3804, 4755, 5580, 5706, 6340, 7608, 9510, 9827, 11160, 11412, 12680, 14265, 19020, 19654, 22824, 28530, 29481, 38040, 39308, 49135, 57060, 58962, 78616, 88443, 98270, 114120, 117924, 147405, 176886, 196540, 235848, 294810, 353772, 393080, 442215, 589620, 707544, 884430, 1179240, 1768860, 3537720
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.