The number 3836
3836 is a composite number with 12 divisors. Its prime factorisation is × 7 × 137. Divisors (12): 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3836 is composite. Its prime factorisation is
- 3
The divisors add up to 7728; without 3836 itself that is 3892, so 3836 is abundant (3892 is more than 3836). Euler's totient φ(3836) = 1632 numbers up to 3836 share no factor with it.
- 4
The digits of 3836 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3836 = 2^{2} \times 7 \times 137 \]3836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7728 |
| Euler totient φ(n) | 1632 |
| Square | 14714896 |
| Cube | 56446341056 |
| Square root | 61.935450 (= 2√959) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.836 × |
3836 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and thirty-six |
| Roman numerals | MMMDCCCXXXVI |
| Binary (base 2) | 111011111100 |
| Octal (base 8) | 7374 |
| Hexadecimal (base 16) | EFC |
| Base 3 | 12021002 |
| As time | 3836 seconds = 1 h 3 min 56 s |
Is 3836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3836 ÷ 2 = 1918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3836 ÷ 4 = 959) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3836 ÷ 7 = 548) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3836 a prime number?
No. 3836 = × 7 × 137, so it is divisible by 2.
What are the factors of 3836?
1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836.
What is 3836 in binary?
111011111100 (hexadecimal EFC, octal 7374).
What is the square root of 3836?
About 61.9355, exactly 2√959.
What is 3836 in Roman numerals?
MMMDCCCXXXVI.
Is 3836 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3836?
It is a composite number with 12 divisors.