The number 39006
39006 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 197. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 197, 198, 394, 591, 1182 … 39006.
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How to work it out
- 1
What is special about 39006: a Harshad number: divisible by its digit sum 18.
- 2
39006 is composite. Its prime factorisation is
- 3
The divisors add up to 92664; without 39006 itself that is 53658, so 39006 is abundant (53658 is more than 39006). Euler's totient φ(39006) = 11760 numbers up to 39006 share no factor with it.
- 4
The digits of 39006 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39006 = 2 \times 3^{2} \times 11 \times 197 \]39006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92664 |
| Euler totient φ(n) | 11760 |
| Square | 1521468036 |
| Cube | 59346382212216 |
| Square root | 197.499367 (= 3√4334) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.9006 × |
39006 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and six |
| Binary (base 2) | 1001100001011110 |
| Octal (base 8) | 114136 |
| Hexadecimal (base 16) | 985E |
| Base 3 | 1222111200 |
| As time | 39006 seconds = 10 h 50 min 6 s |
Is 39006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39006 ÷ 2 = 19503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39006 ÷ 3 = 13002) | 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 | Yes (39006 ÷ 6 = 6501) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39006 ÷ 9 = 4334) | 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 | Yes (39006 ÷ 11 = 3546) | 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 39006 a prime number?
No. 39006 = 2 × × 11 × 197, so it is divisible by 2.
What are the factors of 39006?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 197, 198, 394, 591, 1182, 1773, 2167, 3546, 4334, 6501, 13002, 19503, 39006.
What is 39006 in binary?
1001100001011110 (hexadecimal 985E, octal 114136).
What is the square root of 39006?
About 197.4994, exactly 3√4334.
Is 39006 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 39006?
39006 is a Harshad number: divisible by its digit sum 18.