Is 3,743,964 a Prime Number?
No, 3,743,964 is not a prime number
Number Properties
- Value:3,743,964
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110010010000011011100
- Hexadecimal:3920DC
Prime Status
3,743,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 83 × 179
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 83, 84, 126, 166, 179, 249, 252, 332, 358, 498, 537, 581, 716, 747, 996, 1074, 1162, 1253, 1494, 1611, 1743, 2148, 2324, 2506, 2988, 3222, 3486, 3759, 5012, 5229, 6444, 6972, 7518, 10458, 11277, 14857, 15036, 20916, 22554, 29714, 44571, 45108, 59428, 89142, 103999, 133713, 178284, 207998, 267426, 311997, 415996, 534852, 623994, 935991, 1247988, 1871982, 3743964
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.