The number 38988
38988 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108 … 38988.
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How to work it out
- 1
What is special about 38988: a Harshad number: divisible by its digit sum 36.
- 2
38988 is composite. Its prime factorisation is
- 3
The divisors add up to 106680; without 38988 itself that is 67692, so 38988 is abundant (67692 is more than 38988). Euler's totient φ(38988) = 12312 numbers up to 38988 share no factor with it.
- 4
The digits of 38988 add up to 36, 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
\[ 38988 = 2^{2} \times 3^{3} \times 19^{2} \]38988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 106680 |
| Euler totient φ(n) | 12312 |
| Square | 1520064144 |
| Cube | 59264260846272 |
| Square root | 197.453792 (= 114√3) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8988 × |
38988 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and eighty-eight |
| Binary (base 2) | 1001100001001100 |
| Octal (base 8) | 114114 |
| Hexadecimal (base 16) | 984C |
| Base 3 | 1222111000 |
| As time | 38988 seconds = 10 h 49 min 48 s |
Is 38988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38988 ÷ 2 = 19494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38988 ÷ 3 = 12996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38988 ÷ 4 = 9747) | 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 | Yes (38988 ÷ 6 = 6498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38988 ÷ 9 = 4332) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38988 ÷ 12 = 3249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38988 a prime number?
No. 38988 = × × , so it is divisible by 2.
What are the factors of 38988?
1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 361, 513, 684, 722, 1026, 1083, 1444, 2052, 2166, 3249, 4332, 6498, 9747, 12996, 19494, 38988.
What is 38988 in binary?
1001100001001100 (hexadecimal 984C, octal 114114).
What is the square root of 38988?
About 197.4538, exactly 114√3.
Is 38988 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 38988?
38988 is a Harshad number: divisible by its digit sum 36.