The number 3789
3789 is a composite number with 6 divisors. Its prime factorisation is × 421. Divisors (6): 1, 3, 9, 421, 1263, 3789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3789: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3789 is composite. Its prime factorisation is
- 3
The divisors add up to 5486; without 3789 itself that is 1697, so 3789 is deficient (1697 is less than 3789). Euler's totient φ(3789) = 2520 numbers up to 3789 share no factor with it.
- 4
The digits of 3789 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3789 = 3^{2} \times 421 \]3789 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5486 |
| Euler totient φ(n) | 2520 |
| Square | 14356521 |
| Cube | 54396858069 |
| Square root | 61.554854 (= 3√421) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.789 × |
3789 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and eighty-nine |
| Roman numerals | MMMDCCLXXXIX |
| Binary (base 2) | 111011001101 |
| Octal (base 8) | 7315 |
| Hexadecimal (base 16) | ECD |
| Base 3 | 12012100 |
| As time | 3789 seconds = 1 h 3 min 9 s |
Is 3789 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3789 ÷ 3 = 1263) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3789 ÷ 9 = 421) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3789 a prime number?
No. 3789 = × 421, so it is divisible by 3.
What are the factors of 3789?
1, 3, 9, 421, 1263, 3789.
What is 3789 in binary?
111011001101 (hexadecimal ECD, octal 7315).
What is the square root of 3789?
About 61.5549, exactly 3√421.
What is 3789 in Roman numerals?
MMMDCCLXXXIX.
Is 3789 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 3789?
3789 is a happy number: repeatedly adding the squares of its digits reaches 1.