Is 3,740,072 a Prime Number?
No, 3,740,072 is not a prime number
Number Properties
- Value:3,740,072
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1110010001000110101000
- Hexadecimal:3911A8
Prime Status
3,740,072 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 73 × 29 × 47
Divisors
Total divisors: 64
1, 2, 4, 7, 8, 14, 28, 29, 47, 49, 56, 58, 94, 98, 116, 188, 196, 203, 232, 329, 343, 376, 392, 406, 658, 686, 812, 1316, 1363, 1372, 1421, 1624, 2303, 2632, 2726, 2744, 2842, 4606, 5452, 5684, 9212, 9541, 9947, 10904, 11368, 16121, 18424, 19082, 19894, 32242, 38164, 39788, 64484, 66787, 76328, 79576, 128968, 133574, 267148, 467509, 534296, 935018, 1870036, 3740072
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.