The number 38871
38871 is a composite number with 12 divisors. Its prime factorisation is × 7 × 617. Divisors (12): 1, 3, 7, 9, 21, 63, 617, 1851, 4319, 5553, 12957, 38871.
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How to work it out
- 1
38871 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38871 is composite. Its prime factorisation is
- 3
The divisors add up to 64272; without 38871 itself that is 25401, so 38871 is deficient (25401 is less than 38871). Euler's totient φ(38871) = 22176 numbers up to 38871 share no factor with it.
- 4
The digits of 38871 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38871 = 3^{2} \times 7 \times 617 \]38871 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64272 |
| Euler totient φ(n) | 22176 |
| Square | 1510954641 |
| Cube | 58732317850311 |
| Square root | 197.157298 (= 3√4319) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8871 × |
38871 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and seventy-one |
| Binary (base 2) | 1001011111010111 |
| Octal (base 8) | 113727 |
| Hexadecimal (base 16) | 97D7 |
| Base 3 | 1222022200 |
| As time | 38871 seconds = 10 h 47 min 51 s |
Is 38871 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 (38871 ÷ 3 = 12957) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38871 ÷ 7 = 5553) | 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 (38871 ÷ 9 = 4319) | 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 8) | 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 38871 a prime number?
No. 38871 = × 7 × 617, so it is divisible by 3.
What are the factors of 38871?
1, 3, 7, 9, 21, 63, 617, 1851, 4319, 5553, 12957, 38871.
What is 38871 in binary?
1001011111010111 (hexadecimal 97D7, octal 113727).
What is the square root of 38871?
About 197.1573, exactly 3√4319.
Is 38871 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38871?
It is a composite number with 12 divisors.