The number 38493
38493 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 47. Divisors (24): 1, 3, 7, 9, 13, 21, 39, 47, 63, 91, 117, 141, 273, 329, 423, 611 … 38493.
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How to work it out
- 1
38493 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38493 is composite. Its prime factorisation is
- 3
The divisors add up to 69888; without 38493 itself that is 31395, so 38493 is deficient (31395 is less than 38493). Euler's totient φ(38493) = 19872 numbers up to 38493 share no factor with it.
- 4
The digits of 38493 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38493 = 3^{2} \times 7 \times 13 \times 47 \]38493 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 69888 |
| Euler totient φ(n) | 19872 |
| Square | 1481711049 |
| Cube | 57035503409157 |
| Square root | 196.196330 (= 3√4277) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8493 × |
38493 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and ninety-three |
| Binary (base 2) | 1001011001011101 |
| Octal (base 8) | 113135 |
| Hexadecimal (base 16) | 965D |
| Base 3 | 1221210200 |
| As time | 38493 seconds = 10 h 41 min 33 s |
Is 38493 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 (38493 ÷ 3 = 12831) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38493 ÷ 7 = 5499) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38493 ÷ 9 = 4277) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38493 a prime number?
No. 38493 = × 7 × 13 × 47, so it is divisible by 3.
What are the factors of 38493?
1, 3, 7, 9, 13, 21, 39, 47, 63, 91, 117, 141, 273, 329, 423, 611, 819, 987, 1833, 2961, 4277, 5499, 12831, 38493.
What is 38493 in binary?
1001011001011101 (hexadecimal 965D, octal 113135).
What is the square root of 38493?
About 196.1963, exactly 3√4277.
Is 38493 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38493?
It is a composite number with 24 divisors.