The number 38367
38367 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 3, 7, 9, 21, 27, 29, 49, 63, 87, 147, 189, 203, 261, 441, 609 … 38367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38367: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
38367 is composite. Its prime factorisation is
- 3
The divisors add up to 68400; without 38367 itself that is 30033, so 38367 is deficient (30033 is less than 38367). Euler's totient φ(38367) = 21168 numbers up to 38367 share no factor with it.
- 4
The digits of 38367 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38367 = 3^{3} \times 7^{2} \times 29 \]38367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68400 |
| Euler totient φ(n) | 21168 |
| Square | 1472026689 |
| Cube | 56477247976863 |
| Square root | 195.874960 (= 21√87) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8367 × |
38367 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and sixty-seven |
| Binary (base 2) | 1001010111011111 |
| Octal (base 8) | 112737 |
| Hexadecimal (base 16) | 95DF |
| Base 3 | 1221122000 |
| As time | 38367 seconds = 10 h 39 min 27 s |
Is 38367 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 (38367 ÷ 3 = 12789) | 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 2) | 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 | Yes (38367 ÷ 7 = 5481) | 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 (38367 ÷ 9 = 4263) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38367 a prime number?
No. 38367 = × × 29, so it is divisible by 3.
What are the factors of 38367?
1, 3, 7, 9, 21, 27, 29, 49, 63, 87, 147, 189, 203, 261, 441, 609, 783, 1323, 1421, 1827, 4263, 5481, 12789, 38367.
What is 38367 in binary?
1001010111011111 (hexadecimal 95DF, octal 112737).
What is the square root of 38367?
About 195.8750, exactly 21√87.
Is 38367 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38367?
38367 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.