The number 38636
38636 is a composite number with 12 divisors. Its prime factorisation is × 13 × 743. Divisors (12): 1, 2, 4, 13, 26, 52, 743, 1486, 2972, 9659, 19318, 38636.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38636: a Harshad number: divisible by its digit sum 26.
- 2
38636 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 38636 itself that is 34276, so 38636 is deficient (34276 is less than 38636). Euler's totient φ(38636) = 17808 numbers up to 38636 share no factor with it.
- 4
The digits of 38636 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38636 = 2^{2} \times 13 \times 743 \]38636 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 17808 |
| Square | 1492740496 |
| Cube | 57673521803456 |
| Square root | 196.560423 (= 2√9659) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8636 × |
38636 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and thirty-six |
| Binary (base 2) | 1001011011101100 |
| Octal (base 8) | 113354 |
| Hexadecimal (base 16) | 96EC |
| Base 3 | 1221222222 |
| As time | 38636 seconds = 10 h 43 min 56 s |
Is 38636 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38636 ÷ 2 = 19318) | 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 (38636 ÷ 4 = 9659) | 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 | No (remainder 3) | 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 8) | 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 4) | 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 38636 a prime number?
No. 38636 = × 13 × 743, so it is divisible by 2.
What are the factors of 38636?
1, 2, 4, 13, 26, 52, 743, 1486, 2972, 9659, 19318, 38636.
What is 38636 in binary?
1001011011101100 (hexadecimal 96EC, octal 113354).
What is the square root of 38636?
About 196.5604, exactly 2√9659.
Is 38636 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38636?
38636 is a Harshad number: divisible by its digit sum 26.