The number 38826
38826 is a composite number with 16 divisors. Its prime factorisation is 2 × × 719. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 719, 1438, 2157, 4314, 6471, 12942, 19413, 38826.
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How to work it out
- 1
What is special about 38826: a Harshad number: divisible by its digit sum 27.
- 2
38826 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 38826 itself that is 47574, so 38826 is abundant (47574 is more than 38826). Euler's totient φ(38826) = 12924 numbers up to 38826 share no factor with it.
- 4
The digits of 38826 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
\[ 38826 = 2 \times 3^{3} \times 719 \]38826 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 12924 |
| Square | 1507458276 |
| Cube | 58528575023976 |
| Square root | 197.043142 (= 3√4314) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8826 × |
38826 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and twenty-six |
| Binary (base 2) | 1001011110101010 |
| Octal (base 8) | 113652 |
| Hexadecimal (base 16) | 97AA |
| Base 3 | 1222021000 |
| As time | 38826 seconds = 10 h 47 min 6 s |
Is 38826 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38826 ÷ 2 = 19413) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38826 ÷ 3 = 12942) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38826 ÷ 6 = 6471) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38826 ÷ 9 = 4314) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 38826 a prime number?
No. 38826 = 2 × × 719, so it is divisible by 2.
What are the factors of 38826?
1, 2, 3, 6, 9, 18, 27, 54, 719, 1438, 2157, 4314, 6471, 12942, 19413, 38826.
What is 38826 in binary?
1001011110101010 (hexadecimal 97AA, octal 113652).
What is the square root of 38826?
About 197.0431, exactly 3√4314.
Is 38826 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38826?
38826 is a Harshad number: divisible by its digit sum 27.