The number 36849
36849 is a binary palindrome (1000111111110001). Its prime factorisation is 3 × 71 × 173. Divisors (8): 1, 3, 71, 173, 213, 519, 12283, 36849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36849: a binary palindrome (1000111111110001).
- 2
36849 is composite. Its prime factorisation is
- 3
The divisors add up to 50112; without 36849 itself that is 13263, so 36849 is deficient (13263 is less than 36849). Euler's totient φ(36849) = 24080 numbers up to 36849 share no factor with it.
- 4
The digits of 36849 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36849 = 3 \times 71 \times 173 \]
36849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50112 |
| Euler totient φ(n) | 24080 |
| Square | 1357848801 |
| Cube | 50035370468049 |
| Square root | 191.960934 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6849 × |
36849 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and forty-nine |
| Binary (base 2) | 1000111111110001 |
| Octal (base 8) | 107761 |
| Hexadecimal (base 16) | 8FF1 |
| Base 3 | 1212112210 |
| As time | 36849 seconds = 10 h 14 min 9 s |
Is 36849 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 (36849 ÷ 3 = 12283) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | 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 36849 a prime number?
No. 36849 = 3 × 71 × 173, so it is divisible by 3.
What are the factors of 36849?
1, 3, 71, 173, 213, 519, 12283, 36849.
What is 36849 in binary?
1000111111110001 (hexadecimal 8FF1, octal 107761).
What is the square root of 36849?
About 191.9609.
Is 36849 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 36849?
36849 is a binary palindrome (1000111111110001).