The number 60825
60825 is a composite number with 12 divisors. Its prime factorisation is 3 × × 811. Divisors (12): 1, 3, 5, 15, 25, 75, 811, 2433, 4055, 12165, 20275, 60825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60825: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60825 is composite. Its prime factorisation is
- 3
The divisors add up to 100688; without 60825 itself that is 39863, so 60825 is deficient (39863 is less than 60825). Euler's totient φ(60825) = 32400 numbers up to 60825 share no factor with it.
- 4
The digits of 60825 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60825 = 3 \times 5^{2} \times 811 \]60825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100688 |
| Euler totient φ(n) | 32400 |
| Square | 3699680625 |
| Cube | 225033074015625 |
| Square root | 246.627249 (= 5√2433) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.0825 × |
60825 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand eight hundred and twenty-five |
| Binary (base 2) | 1110110110011001 |
| Octal (base 8) | 166631 |
| Hexadecimal (base 16) | ED99 |
| Base 3 | 10002102210 |
| As time | 60825 seconds = 16 h 53 min 45 s |
Is 60825 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 (60825 ÷ 3 = 20275) | 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 (60825 ÷ 5 = 12165) | 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 | No (remainder 3) | 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 6) | 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 60825 a prime number?
No. 60825 = 3 × × 811, so it is divisible by 3.
What are the factors of 60825?
1, 3, 5, 15, 25, 75, 811, 2433, 4055, 12165, 20275, 60825.
What is 60825 in binary?
1110110110011001 (hexadecimal ED99, octal 166631).
What is the square root of 60825?
About 246.6272, exactly 5√2433.
Is 60825 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60825?
60825 is a happy number: repeatedly adding the squares of its digits reaches 1.