The number 38967
38967 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 419. Divisors (8): 1, 3, 31, 93, 419, 1257, 12989, 38967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38967: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38967 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 38967 itself that is 14793, so 38967 is deficient (14793 is less than 38967). Euler's totient φ(38967) = 25080 numbers up to 38967 share no factor with it.
- 4
The digits of 38967 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38967 = 3 \times 31 \times 419 \]
38967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 25080 |
| Square | 1518427089 |
| Cube | 59168548377063 |
| Square root | 197.400608 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8967 × |
38967 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and sixty-seven |
| Binary (base 2) | 1001100000110111 |
| Octal (base 8) | 114067 |
| Hexadecimal (base 16) | 9837 |
| Base 3 | 1222110020 |
| As time | 38967 seconds = 10 h 49 min 27 s |
Is 38967 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 (38967 ÷ 3 = 12989) | 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 | No (remainder 5) | 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 | No (remainder 6) | 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 5) | 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 38967 a prime number?
No. 38967 = 3 × 31 × 419, so it is divisible by 3.
What are the factors of 38967?
1, 3, 31, 93, 419, 1257, 12989, 38967.
What is 38967 in binary?
1001100000110111 (hexadecimal 9837, octal 114067).
What is the square root of 38967?
About 197.4006.
Is 38967 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 38967?
38967 is a happy number: repeatedly adding the squares of its digits reaches 1.