Is 1,413,948 a Prime Number?
No, 1,413,948 is not a prime number
Number Properties
- Value:1,413,948
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:101011001001100111100
- Hexadecimal:15933C
Prime Status
1,413,948 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 23 × 47 × 109
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 23, 46, 47, 69, 92, 94, 109, 138, 141, 188, 218, 276, 282, 327, 436, 564, 654, 1081, 1308, 2162, 2507, 3243, 4324, 5014, 5123, 6486, 7521, 10028, 10246, 12972, 15042, 15369, 20492, 30084, 30738, 61476, 117829, 235658, 353487, 471316, 706974, 1413948
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.