The number 38337
38337 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 983. Divisors (8): 1, 3, 13, 39, 983, 2949, 12779, 38337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38337 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38337 is composite. Its prime factorisation is
- 3
The divisors add up to 55104; without 38337 itself that is 16767, so 38337 is deficient (16767 is less than 38337). Euler's totient φ(38337) = 23568 numbers up to 38337 share no factor with it.
- 4
The digits of 38337 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38337 = 3 \times 13 \times 983 \]
38337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55104 |
| Euler totient φ(n) | 23568 |
| Square | 1469725569 |
| Cube | 56344869138753 |
| Square root | 195.798366 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.8337 × |
38337 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and thirty-seven |
| Binary (base 2) | 1001010111000001 |
| Octal (base 8) | 112701 |
| Hexadecimal (base 16) | 95C1 |
| Base 3 | 1221120220 |
| As time | 38337 seconds = 10 h 38 min 57 s |
Is 38337 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 (38337 ÷ 3 = 12779) | 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 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 | No (remainder 6) | 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 2) | 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 38337 a prime number?
No. 38337 = 3 × 13 × 983, so it is divisible by 3.
What are the factors of 38337?
1, 3, 13, 39, 983, 2949, 12779, 38337.
What is 38337 in binary?
1001010111000001 (hexadecimal 95C1, octal 112701).
What is the square root of 38337?
About 195.7984.
Is 38337 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38337?
It is a composite number with 8 divisors.