The number 38313
38313 is a binary palindrome (1001010110101001). Its prime factorisation is × 11 × 43. Divisors (20): 1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419 … 38313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38313: a binary palindrome (1001010110101001).
- 2
38313 is composite. Its prime factorisation is
- 3
The divisors add up to 63888; without 38313 itself that is 25575, so 38313 is deficient (25575 is less than 38313). Euler's totient φ(38313) = 22680 numbers up to 38313 share no factor with it.
- 4
The digits of 38313 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38313 = 3^{4} \times 11 \times 43 \]38313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 63888 |
| Euler totient φ(n) | 22680 |
| Square | 1467885969 |
| Cube | 56239115130297 |
| Square root | 195.737069 (= 9√473) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.8313 × |
38313 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and thirteen |
| Binary (base 2) | 1001010110101001 |
| Octal (base 8) | 112651 |
| Hexadecimal (base 16) | 95A9 |
| Base 3 | 1221120000 |
| As time | 38313 seconds = 10 h 38 min 33 s |
Is 38313 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 (38313 ÷ 3 = 12771) | 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 2) | 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 (38313 ÷ 9 = 4257) | 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 | Yes (38313 ÷ 11 = 3483) | 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 38313 a prime number?
No. 38313 = × 11 × 43, so it is divisible by 3.
What are the factors of 38313?
1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419, 3483, 4257, 12771, 38313.
What is 38313 in binary?
1001010110101001 (hexadecimal 95A9, octal 112651).
What is the square root of 38313?
About 195.7371, exactly 9√473.
Is 38313 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38313?
38313 is a binary palindrome (1001010110101001).