The number 60225
60225 is a composite number with 24 divisors. Its prime factorisation is 3 × × 11 × 73. Divisors (24): 1, 3, 5, 11, 15, 25, 33, 55, 73, 75, 165, 219, 275, 365, 803, 825 … 60225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60225: a Harshad number: divisible by its digit sum 15.
- 2
60225 is composite. Its prime factorisation is
- 3
The divisors add up to 110112; without 60225 itself that is 49887, so 60225 is deficient (49887 is less than 60225). Euler's totient φ(60225) = 28800 numbers up to 60225 share no factor with it.
- 4
The digits of 60225 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60225 = 3 \times 5^{2} \times 11 \times 73 \]60225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 110112 |
| Euler totient φ(n) | 28800 |
| Square | 3627050625 |
| Cube | 218439123890625 |
| Square root | 245.407824 (= 5√2409) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0225 × |
60225 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand two hundred and twenty-five |
| Binary (base 2) | 1110101101000001 |
| Octal (base 8) | 165501 |
| Hexadecimal (base 16) | EB41 |
| Base 3 | 10001121120 |
| As time | 60225 seconds = 16 h 43 min 45 s |
Is 60225 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 (60225 ÷ 3 = 20075) | 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 (60225 ÷ 5 = 12045) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (60225 ÷ 11 = 5475) | 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 60225 a prime number?
No. 60225 = 3 × × 11 × 73, so it is divisible by 3.
What are the factors of 60225?
1, 3, 5, 11, 15, 25, 33, 55, 73, 75, 165, 219, 275, 365, 803, 825, 1095, 1825, 2409, 4015, 5475, 12045, 20075, 60225.
What is 60225 in binary?
1110101101000001 (hexadecimal EB41, octal 165501).
What is the square root of 60225?
About 245.4078, exactly 5√2409.
Is 60225 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60225?
60225 is a Harshad number: divisible by its digit sum 15.