The number 3879
3879 is a composite number with 6 divisors. Its prime factorisation is × 431. Divisors (6): 1, 3, 9, 431, 1293, 3879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3879: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3879 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 3879 itself that is 1737, so 3879 is deficient (1737 is less than 3879). Euler's totient φ(3879) = 2580 numbers up to 3879 share no factor with it.
- 4
The digits of 3879 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3879 = 3^{2} \times 431 \]3879 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 2580 |
| Square | 15046641 |
| Cube | 58365920439 |
| Square root | 62.281618 (= 3√431) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 3.879 × |
3879 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and seventy-nine |
| Roman numerals | MMMDCCCLXXIX |
| Binary (base 2) | 111100100111 |
| Octal (base 8) | 7447 |
| Hexadecimal (base 16) | F27 |
| Base 3 | 12022200 |
| As time | 3879 seconds = 1 h 4 min 39 s |
Is 3879 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 (3879 ÷ 3 = 1293) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3879 ÷ 9 = 431) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3879 a prime number?
No. 3879 = × 431, so it is divisible by 3.
What are the factors of 3879?
1, 3, 9, 431, 1293, 3879.
What is 3879 in binary?
111100100111 (hexadecimal F27, octal 7447).
What is the square root of 3879?
About 62.2816, exactly 3√431.
What is 3879 in Roman numerals?
MMMDCCCLXXIX.
Is 3879 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 3879?
3879 is a happy number: repeatedly adding the squares of its digits reaches 1.