The number 39825
39825 is a composite number with 24 divisors. Its prime factorisation is × × 59. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 59, 75, 135, 177, 225, 295, 531, 675 … 39825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39825: a Harshad number: divisible by its digit sum 27.
- 2
39825 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 39825 itself that is 34575, so 39825 is deficient (34575 is less than 39825). Euler's totient φ(39825) = 20880 numbers up to 39825 share no factor with it.
- 4
The digits of 39825 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39825 = 3^{3} \times 5^{2} \times 59 \]39825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 20880 |
| Square | 1586030625 |
| Cube | 63163669640625 |
| Square root | 199.562020 (= 15√177) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9825 × |
39825 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand eight hundred and twenty-five |
| Binary (base 2) | 1001101110010001 |
| Octal (base 8) | 115621 |
| Hexadecimal (base 16) | 9B91 |
| Base 3 | 2000122000 |
| As time | 39825 seconds = 11 h 3 min 45 s |
Is 39825 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 (39825 ÷ 3 = 13275) | 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 | Yes (39825 ÷ 5 = 7965) | 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 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39825 ÷ 9 = 4425) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 39825 a prime number?
No. 39825 = × × 59, so it is divisible by 3.
What are the factors of 39825?
1, 3, 5, 9, 15, 25, 27, 45, 59, 75, 135, 177, 225, 295, 531, 675, 885, 1475, 1593, 2655, 4425, 7965, 13275, 39825.
What is 39825 in binary?
1001101110010001 (hexadecimal 9B91, octal 115621).
What is the square root of 39825?
About 199.5620, exactly 15√177.
Is 39825 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39825?
39825 is a Harshad number: divisible by its digit sum 27.