The number 36738
36738 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 157. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 157, 234, 314, 471, 942 … 36738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36738: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36738 is composite. Its prime factorisation is
- 3
The divisors add up to 86268; without 36738 itself that is 49530, so 36738 is abundant (49530 is more than 36738). Euler's totient φ(36738) = 11232 numbers up to 36738 share no factor with it.
- 4
The digits of 36738 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36738 = 2 \times 3^{2} \times 13 \times 157 \]36738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86268 |
| Euler totient φ(n) | 11232 |
| Square | 1349680644 |
| Cube | 49584567499272 |
| Square root | 191.671594 (= 3√4082) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6738 × |
36738 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and thirty-eight |
| Binary (base 2) | 1000111110000010 |
| Octal (base 8) | 107602 |
| Hexadecimal (base 16) | 8F82 |
| Base 3 | 1212101200 |
| As time | 36738 seconds = 10 h 12 min 18 s |
Is 36738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36738 ÷ 2 = 18369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36738 ÷ 3 = 12246) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36738 ÷ 6 = 6123) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36738 ÷ 9 = 4082) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36738 a prime number?
No. 36738 = 2 × × 13 × 157, so it is divisible by 2.
What are the factors of 36738?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 157, 234, 314, 471, 942, 1413, 2041, 2826, 4082, 6123, 12246, 18369, 36738.
What is 36738 in binary?
1000111110000010 (hexadecimal 8F82, octal 107602).
What is the square root of 36738?
About 191.6716, exactly 3√4082.
Is 36738 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36738?
36738 is a happy number: repeatedly adding the squares of its digits reaches 1.