The number 38731
38731 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 503. Divisors (8): 1, 7, 11, 77, 503, 3521, 5533, 38731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38731 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38731 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 38731 itself that is 9653, so 38731 is deficient (9653 is less than 38731). Euler's totient φ(38731) = 30120 numbers up to 38731 share no factor with it.
- 4
The digits of 38731 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38731 = 7 \times 11 \times 503 \]
38731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 30120 |
| Square | 1500090361 |
| Cube | 58099999771891 |
| Square root | 196.801931 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8731 × |
38731 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and thirty-one |
| Binary (base 2) | 1001011101001011 |
| Octal (base 8) | 113513 |
| Hexadecimal (base 16) | 974B |
| Base 3 | 1222010111 |
| As time | 38731 seconds = 10 h 45 min 31 s |
Is 38731 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38731 ÷ 7 = 5533) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38731 ÷ 11 = 3521) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38731 a prime number?
No. 38731 = 7 × 11 × 503, so it is divisible by 7.
What are the factors of 38731?
1, 7, 11, 77, 503, 3521, 5533, 38731.
What is 38731 in binary?
1001011101001011 (hexadecimal 974B, octal 113513).
What is the square root of 38731?
About 196.8019.
Is 38731 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38731?
It is a composite number with 8 divisors.