The number 60075
60075 is a composite number with 24 divisors. Its prime factorisation is × × 89. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 75, 89, 135, 225, 267, 445, 675, 801 … 60075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60075 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 60075 itself that is 51525, so 60075 is deficient (51525 is less than 60075). Euler's totient φ(60075) = 31680 numbers up to 60075 share no factor with it.
- 4
The digits of 60075 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60075 = 3^{3} \times 5^{2} \times 89 \]60075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 31680 |
| Square | 3609005625 |
| Cube | 216811012921875 |
| Square root | 245.102020 (= 15√267) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0075 × |
60075 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and seventy-five |
| Binary (base 2) | 1110101010101011 |
| Octal (base 8) | 165253 |
| Hexadecimal (base 16) | EAAB |
| Base 3 | 10001102000 |
| As time | 60075 seconds = 16 h 41 min 15 s |
Is 60075 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 (60075 ÷ 3 = 20025) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60075 ÷ 5 = 12015) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60075 ÷ 9 = 6675) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60075 a prime number?
No. 60075 = × × 89, so it is divisible by 3.
What are the factors of 60075?
1, 3, 5, 9, 15, 25, 27, 45, 75, 89, 135, 225, 267, 445, 675, 801, 1335, 2225, 2403, 4005, 6675, 12015, 20025, 60075.
What is 60075 in binary?
1110101010101011 (hexadecimal EAAB, octal 165253).
What is the square root of 60075?
About 245.1020, exactly 15√267.
Is 60075 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60075?
It is a composite number with 24 divisors.