The number 38484
38484 is a composite number with 18 divisors. Its prime factorisation is × × 1069. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1069, 2138, 3207, 4276, 6414, 9621, 12828 … 38484.
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How to work it out
- 1
38484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38484 is composite. Its prime factorisation is
- 3
The divisors add up to 97370; without 38484 itself that is 58886, so 38484 is abundant (58886 is more than 38484). Euler's totient φ(38484) = 12816 numbers up to 38484 share no factor with it.
- 4
The digits of 38484 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38484 = 2^{2} \times 3^{2} \times 1069 \]38484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 97370 |
| Euler totient φ(n) | 12816 |
| Square | 1481018256 |
| Cube | 56995506563904 |
| Square root | 196.173393 (= 6√1069) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8484 × |
38484 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and eighty-four |
| Binary (base 2) | 1001011001010100 |
| Octal (base 8) | 113124 |
| Hexadecimal (base 16) | 9654 |
| Base 3 | 1221210100 |
| As time | 38484 seconds = 10 h 41 min 24 s |
Is 38484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38484 ÷ 2 = 19242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38484 ÷ 3 = 12828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38484 ÷ 4 = 9621) | 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 | Yes (38484 ÷ 6 = 6414) | 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 (38484 ÷ 9 = 4276) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38484 ÷ 12 = 3207) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38484 a prime number?
No. 38484 = × × 1069, so it is divisible by 2.
What are the factors of 38484?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1069, 2138, 3207, 4276, 6414, 9621, 12828, 19242, 38484.
What is 38484 in binary?
1001011001010100 (hexadecimal 9654, octal 113124).
What is the square root of 38484?
About 196.1734, exactly 6√1069.
Is 38484 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38484?
It is a composite number with 18 divisors.