The number 38709
38709 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 23. Divisors (24): 1, 3, 9, 11, 17, 23, 33, 51, 69, 99, 153, 187, 207, 253, 391, 561 … 38709.
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How to work it out
- 1
What is special about 38709: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38709 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 38709 itself that is 28683, so 38709 is deficient (28683 is less than 38709). Euler's totient φ(38709) = 21120 numbers up to 38709 share no factor with it.
- 4
The digits of 38709 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38709 = 3^{2} \times 11 \times 17 \times 23 \]38709 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 21120 |
| Square | 1498386681 |
| Cube | 58001050034829 |
| Square root | 196.746029 (= 3√4301) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8709 × |
38709 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and nine |
| Binary (base 2) | 1001011100110101 |
| Octal (base 8) | 113465 |
| Hexadecimal (base 16) | 9735 |
| Base 3 | 1222002200 |
| As time | 38709 seconds = 10 h 45 min 9 s |
Is 38709 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 (38709 ÷ 3 = 12903) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38709 ÷ 9 = 4301) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38709 ÷ 11 = 3519) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38709 a prime number?
No. 38709 = × 11 × 17 × 23, so it is divisible by 3.
What are the factors of 38709?
1, 3, 9, 11, 17, 23, 33, 51, 69, 99, 153, 187, 207, 253, 391, 561, 759, 1173, 1683, 2277, 3519, 4301, 12903, 38709.
What is 38709 in binary?
1001011100110101 (hexadecimal 9735, octal 113465).
What is the square root of 38709?
About 196.7460, exactly 3√4301.
Is 38709 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38709?
38709 is a happy number: repeatedly adding the squares of its digits reaches 1.