The number 38727
38727 is a composite number with 12 divisors. Its prime factorisation is × 13 × 331. Divisors (12): 1, 3, 9, 13, 39, 117, 331, 993, 2979, 4303, 12909, 38727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38727 is composite. Its prime factorisation is
- 3
The divisors add up to 60424; without 38727 itself that is 21697, so 38727 is deficient (21697 is less than 38727). Euler's totient φ(38727) = 23760 numbers up to 38727 share no factor with it.
- 4
The digits of 38727 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38727 = 3^{2} \times 13 \times 331 \]38727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60424 |
| Euler totient φ(n) | 23760 |
| Square | 1499780529 |
| Cube | 58082000546583 |
| Square root | 196.791768 (= 3√4303) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8727 × |
38727 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and twenty-seven |
| Binary (base 2) | 1001011101000111 |
| Octal (base 8) | 113507 |
| Hexadecimal (base 16) | 9747 |
| Base 3 | 1222010100 |
| As time | 38727 seconds = 10 h 45 min 27 s |
Is 38727 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 (38727 ÷ 3 = 12909) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38727 ÷ 9 = 4303) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38727 a prime number?
No. 38727 = × 13 × 331, so it is divisible by 3.
What are the factors of 38727?
1, 3, 9, 13, 39, 117, 331, 993, 2979, 4303, 12909, 38727.
What is 38727 in binary?
1001011101000111 (hexadecimal 9747, octal 113507).
What is the square root of 38727?
About 196.7918, exactly 3√4303.
Is 38727 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38727?
It is a composite number with 12 divisors.