The number 3790
3790 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 379. Divisors (8): 1, 2, 5, 10, 379, 758, 1895, 3790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3790: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3790 is composite. Its prime factorisation is
- 3
The divisors add up to 6840; without 3790 itself that is 3050, so 3790 is deficient (3050 is less than 3790). Euler's totient φ(3790) = 1512 numbers up to 3790 share no factor with it.
- 4
The digits of 3790 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3790 = 2 \times 5 \times 379 \]
3790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6840 |
| Euler totient φ(n) | 1512 |
| Square | 14364100 |
| Cube | 54439939000 |
| Square root | 61.562976 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 175 |
| Scientific notation | 3.79 × |
3790 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and ninety |
| Roman numerals | MMMDCCXC |
| Binary (base 2) | 111011001110 |
| Octal (base 8) | 7316 |
| Hexadecimal (base 16) | ECE |
| Base 3 | 12012101 |
| As time | 3790 seconds = 1 h 3 min 10 s |
Is 3790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3790 ÷ 2 = 1895) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3790 ÷ 5 = 758) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3790 ÷ 10 = 379) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3790 a prime number?
No. 3790 = 2 × 5 × 379, so it is divisible by 2.
What are the factors of 3790?
1, 2, 5, 10, 379, 758, 1895, 3790.
What is 3790 in binary?
111011001110 (hexadecimal ECE, octal 7316).
What is the square root of 3790?
About 61.5630.
What is 3790 in Roman numerals?
MMMDCCXC.
Is 3790 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3790?
3790 is a happy number: repeatedly adding the squares of its digits reaches 1.