Is 3,513,120 a Prime Number?
No, 3,513,120 is not a prime number
Number Properties
- Value:3,513,120
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1101011001101100100000
- Hexadecimal:359B20
Prime Status
3,513,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 13 × 563
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 563, 624, 780, 1040, 1126, 1248, 1560, 1689, 2080, 2252, 2815, 3120, 3378, 4504, 5630, 6240, 6756, 7319, 8445, 9008, 11260, 13512, 14638, 16890, 18016, 21957, 22520, 27024, 29276, 33780, 36595, 43914, 45040, 54048, 58552, 67560, 73190, 87828, 90080, 109785, 117104, 135120, 146380, 175656, 219570, 234208, 270240, 292760, 351312, 439140, 585520, 702624, 878280, 1171040, 1756560, 3513120
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.