The number 38673
38673 is a composite number with 6 divisors. Its prime factorisation is × 4297. Divisors (6): 1, 3, 9, 4297, 12891, 38673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38673: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38673 is composite. Its prime factorisation is
- 3
The divisors add up to 55874; without 38673 itself that is 17201, so 38673 is deficient (17201 is less than 38673). Euler's totient φ(38673) = 25776 numbers up to 38673 share no factor with it.
- 4
The digits of 38673 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38673 = 3^{2} \times 4297 \]38673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 55874 |
| Euler totient φ(n) | 25776 |
| Square | 1495600929 |
| Cube | 57839374727217 |
| Square root | 196.654519 (= 3√4297) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8673 × |
38673 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and seventy-three |
| Binary (base 2) | 1001011100010001 |
| Octal (base 8) | 113421 |
| Hexadecimal (base 16) | 9711 |
| Base 3 | 1222001100 |
| As time | 38673 seconds = 10 h 44 min 33 s |
Is 38673 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 (38673 ÷ 3 = 12891) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38673 ÷ 9 = 4297) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 38673 a prime number?
No. 38673 = × 4297, so it is divisible by 3.
What are the factors of 38673?
1, 3, 9, 4297, 12891, 38673.
What is 38673 in binary?
1001011100010001 (hexadecimal 9711, octal 113421).
What is the square root of 38673?
About 196.6545, exactly 3√4297.
Is 38673 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38673?
38673 is a happy number: repeatedly adding the squares of its digits reaches 1.