Is 3,787,290 a Prime Number?
No, 3,787,290 is not a prime number
Number Properties
- Value:3,787,290
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110011100101000011010
- Hexadecimal:39CA1A
Prime Status
3,787,290 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 132 × 83
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 83, 90, 117, 130, 135, 166, 169, 195, 234, 249, 270, 338, 351, 390, 415, 498, 507, 585, 702, 747, 830, 845, 1014, 1079, 1170, 1245, 1494, 1521, 1690, 1755, 2158, 2241, 2490, 2535, 3042, 3237, 3510, 3735, 4482, 4563, 5070, 5395, 6474, 7470, 7605, 9126, 9711, 10790, 11205, 14027, 15210, 16185, 19422, 22410, 22815, 28054, 29133, 32370, 42081, 45630, 48555, 58266, 70135, 84162, 97110, 126243, 140270, 145665, 210405, 252486, 291330, 378729, 420810, 631215, 757458, 1262430, 1893645, 3787290
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.