The number 38982
38982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 73 × 89. Divisors (16): 1, 2, 3, 6, 73, 89, 146, 178, 219, 267, 438, 534, 6497, 12994, 19491, 38982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38982 is composite. Its prime factorisation is
- 3
The divisors add up to 79920; without 38982 itself that is 40938, so 38982 is abundant (40938 is more than 38982). Euler's totient φ(38982) = 12672 numbers up to 38982 share no factor with it.
- 4
The digits of 38982 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38982 = 2 \times 3 \times 73 \times 89 \]
38982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79920 |
| Euler totient φ(n) | 12672 |
| Square | 1519596324 |
| Cube | 59236903902168 |
| Square root | 197.438598 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8982 × |
38982 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and eighty-two |
| Binary (base 2) | 1001100001000110 |
| Octal (base 8) | 114106 |
| Hexadecimal (base 16) | 9846 |
| Base 3 | 1222110210 |
| As time | 38982 seconds = 10 h 49 min 42 s |
Is 38982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38982 ÷ 2 = 19491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38982 ÷ 3 = 12994) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (38982 ÷ 6 = 6497) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38982 a prime number?
No. 38982 = 2 × 3 × 73 × 89, so it is divisible by 2.
What are the factors of 38982?
1, 2, 3, 6, 73, 89, 146, 178, 219, 267, 438, 534, 6497, 12994, 19491, 38982.
What is 38982 in binary?
1001100001000110 (hexadecimal 9846, octal 114106).
What is the square root of 38982?
About 197.4386.
Is 38982 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38982?
It is a composite number with 16 divisors.