The number 38311
38311 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 421. Divisors (8): 1, 7, 13, 91, 421, 2947, 5473, 38311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38311 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38311 is composite. Its prime factorisation is
- 3
The divisors add up to 47264; without 38311 itself that is 8953, so 38311 is deficient (8953 is less than 38311). Euler's totient φ(38311) = 30240 numbers up to 38311 share no factor with it.
- 4
The digits of 38311 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38311 = 7 \times 13 \times 421 \]
38311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47264 |
| Euler totient φ(n) | 30240 |
| Square | 1467732721 |
| Cube | 56230308274231 |
| Square root | 195.731960 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8311 × |
38311 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and eleven |
| Binary (base 2) | 1001010110100111 |
| Octal (base 8) | 112647 |
| Hexadecimal (base 16) | 95A7 |
| Base 3 | 1221112221 |
| As time | 38311 seconds = 10 h 38 min 31 s |
Is 38311 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 (38311 ÷ 7 = 5473) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 9) | 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 38311 a prime number?
No. 38311 = 7 × 13 × 421, so it is divisible by 7.
What are the factors of 38311?
1, 7, 13, 91, 421, 2947, 5473, 38311.
What is 38311 in binary?
1001010110100111 (hexadecimal 95A7, octal 112647).
What is the square root of 38311?
About 195.7320.
Is 38311 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38311?
It is a composite number with 8 divisors.