Is 3,431,220 a Prime Number?
No, 3,431,220 is not a prime number
Number Properties
- Value:3,431,220
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1101000101101100110100
- Hexadecimal:345B34
Prime Status
3,431,220 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 13 × 53 × 83
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 53, 60, 65, 78, 83, 106, 130, 156, 159, 166, 195, 212, 249, 260, 265, 318, 332, 390, 415, 498, 530, 636, 689, 780, 795, 830, 996, 1060, 1079, 1245, 1378, 1590, 1660, 2067, 2158, 2490, 2756, 3180, 3237, 3445, 4134, 4316, 4399, 4980, 5395, 6474, 6890, 8268, 8798, 10335, 10790, 12948, 13197, 13780, 16185, 17596, 20670, 21580, 21995, 26394, 32370, 41340, 43990, 52788, 57187, 64740, 65985, 87980, 114374, 131970, 171561, 228748, 263940, 285935, 343122, 571870, 686244, 857805, 1143740, 1715610, 3431220
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.