The number 38984
38984 is a composite number with 16 divisors. Its prime factorisation is × 11 × 443. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 443, 886, 1772, 3544, 4873, 9746, 19492, 38984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38984 is composite. Its prime factorisation is
- 3
The divisors add up to 79920; without 38984 itself that is 40936, so 38984 is abundant (40936 is more than 38984). Euler's totient φ(38984) = 17680 numbers up to 38984 share no factor with it.
- 4
The digits of 38984 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38984 = 2^{3} \times 11 \times 443 \]38984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79920 |
| Euler totient φ(n) | 17680 |
| Square | 1519752256 |
| Cube | 59246021947904 |
| Square root | 197.443663 (= 2√9746) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8984 × |
38984 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and eighty-four |
| Binary (base 2) | 1001100001001000 |
| Octal (base 8) | 114110 |
| Hexadecimal (base 16) | 9848 |
| Base 3 | 1222110212 |
| As time | 38984 seconds = 10 h 49 min 44 s |
Is 38984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38984 ÷ 2 = 19492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38984 ÷ 4 = 9746) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (38984 ÷ 8 = 4873) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38984 ÷ 11 = 3544) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38984 a prime number?
No. 38984 = × 11 × 443, so it is divisible by 2.
What are the factors of 38984?
1, 2, 4, 8, 11, 22, 44, 88, 443, 886, 1772, 3544, 4873, 9746, 19492, 38984.
What is 38984 in binary?
1001100001001000 (hexadecimal 9848, octal 114110).
What is the square root of 38984?
About 197.4437, exactly 2√9746.
Is 38984 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 38984?
It is a composite number with 16 divisors.