Is 3,502,240 a Prime Number?
No, 3,502,240 is not a prime number
Number Properties
- Value:3,502,240
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:1101010111000010100000
- Hexadecimal:3570A0
Prime Status
3,502,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 7 × 53 × 59
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 53, 56, 59, 70, 80, 106, 112, 118, 140, 160, 212, 224, 236, 265, 280, 295, 371, 413, 424, 472, 530, 560, 590, 742, 826, 848, 944, 1060, 1120, 1180, 1484, 1652, 1696, 1855, 1888, 2065, 2120, 2360, 2968, 3127, 3304, 3710, 4130, 4240, 4720, 5936, 6254, 6608, 7420, 8260, 8480, 9440, 11872, 12508, 13216, 14840, 15635, 16520, 21889, 25016, 29680, 31270, 33040, 43778, 50032, 59360, 62540, 66080, 87556, 100064, 109445, 125080, 175112, 218890, 250160, 350224, 437780, 500320, 700448, 875560, 1751120, 3502240
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.