Is 3,740,688 a Prime Number?
No, 3,740,688 is not a prime number
Number Properties
- Value:3,740,688
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110010001010000010000
- Hexadecimal:391410
Prime Status
3,740,688 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 33 × 7 × 1237
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1237, 1512, 2474, 3024, 3711, 4948, 7422, 8659, 9896, 11133, 14844, 17318, 19792, 22266, 25977, 29688, 33399, 34636, 44532, 51954, 59376, 66798, 69272, 77931, 89064, 103908, 133596, 138544, 155862, 178128, 207816, 233793, 267192, 311724, 415632, 467586, 534384, 623448, 935172, 1246896, 1870344, 3740688
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.