The number 38006
38006 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 613. Divisors (8): 1, 2, 31, 62, 613, 1226, 19003, 38006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38006 is composite. Its prime factorisation is
- 3
The divisors add up to 58944; without 38006 itself that is 20938, so 38006 is deficient (20938 is less than 38006). Euler's totient φ(38006) = 18360 numbers up to 38006 share no factor with it.
- 4
The digits of 38006 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38006 = 2 \times 31 \times 613 \]
38006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58944 |
| Euler totient φ(n) | 18360 |
| Square | 1444456036 |
| Cube | 54897996104216 |
| Square root | 194.951276 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8006 × |
38006 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and six |
| Binary (base 2) | 1001010001110110 |
| Octal (base 8) | 112166 |
| Hexadecimal (base 16) | 9476 |
| Base 3 | 1221010122 |
| As time | 38006 seconds = 10 h 33 min 26 s |
Is 38006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38006 ÷ 2 = 19003) | 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 | No (remainder 2) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38006 a prime number?
No. 38006 = 2 × 31 × 613, so it is divisible by 2.
What are the factors of 38006?
1, 2, 31, 62, 613, 1226, 19003, 38006.
What is 38006 in binary?
1001010001110110 (hexadecimal 9476, octal 112166).
What is the square root of 38006?
About 194.9513.
Is 38006 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38006?
38006 is a happy number: repeatedly adding the squares of its digits reaches 1.