The number 38097
38097 is a composite number with 16 divisors. Its prime factorisation is × 17 × 83. Divisors (16): 1, 3, 9, 17, 27, 51, 83, 153, 249, 459, 747, 1411, 2241, 4233, 12699, 38097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38097: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
38097 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 38097 itself that is 22383, so 38097 is deficient (22383 is less than 38097). Euler's totient φ(38097) = 23616 numbers up to 38097 share no factor with it.
- 4
The digits of 38097 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38097 = 3^{3} \times 17 \times 83 \]38097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 23616 |
| Square | 1451381409 |
| Cube | 55293277538673 |
| Square root | 195.184528 (= 3√4233) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8097 × |
38097 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and ninety-seven |
| Binary (base 2) | 1001010011010001 |
| Octal (base 8) | 112321 |
| Hexadecimal (base 16) | 94D1 |
| Base 3 | 1221021000 |
| As time | 38097 seconds = 10 h 34 min 57 s |
Is 38097 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 (38097 ÷ 3 = 12699) | 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 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38097 ÷ 9 = 4233) | 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 4) | 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 38097 a prime number?
No. 38097 = × 17 × 83, so it is divisible by 3.
What are the factors of 38097?
1, 3, 9, 17, 27, 51, 83, 153, 249, 459, 747, 1411, 2241, 4233, 12699, 38097.
What is 38097 in binary?
1001010011010001 (hexadecimal 94D1, octal 112321).
What is the square root of 38097?
About 195.1845, exactly 3√4233.
Is 38097 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38097?
38097 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.