Is 1,742,364 a Prime Number?
No, 1,742,364 is not a prime number
Number Properties
- Value:1,742,364
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:110101001011000011100
- Hexadecimal:1A961C
Prime Status
1,742,364 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 13 × 17 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 27, 34, 36, 39, 51, 52, 54, 68, 73, 78, 102, 108, 117, 146, 153, 156, 204, 219, 221, 234, 292, 306, 351, 438, 442, 459, 468, 612, 657, 663, 702, 876, 884, 918, 949, 1241, 1314, 1326, 1404, 1836, 1898, 1971, 1989, 2482, 2628, 2652, 2847, 3723, 3796, 3942, 3978, 4964, 5694, 5967, 7446, 7884, 7956, 8541, 11169, 11388, 11934, 14892, 16133, 17082, 22338, 23868, 25623, 32266, 33507, 34164, 44676, 48399, 51246, 64532, 67014, 96798, 102492, 134028, 145197, 193596, 290394, 435591, 580788, 871182, 1742364
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.