The number 60084
60084 is a composite number with 18 divisors. Its prime factorisation is × × 1669. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1669, 3338, 5007, 6676, 10014, 15021, 20028 … 60084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60084: a Harshad number: divisible by its digit sum 18.
- 2
60084 is composite. Its prime factorisation is
- 3
The divisors add up to 151970; without 60084 itself that is 91886, so 60084 is abundant (91886 is more than 60084). Euler's totient φ(60084) = 20016 numbers up to 60084 share no factor with it.
- 4
The digits of 60084 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60084 = 2^{2} \times 3^{2} \times 1669 \]60084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 151970 |
| Euler totient φ(n) | 20016 |
| Square | 3610087056 |
| Cube | 216908470672704 |
| Square root | 245.120379 (= 6√1669) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0084 × |
60084 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and eighty-four |
| Binary (base 2) | 1110101010110100 |
| Octal (base 8) | 165264 |
| Hexadecimal (base 16) | EAB4 |
| Base 3 | 10001102100 |
| As time | 60084 seconds = 16 h 41 min 24 s |
Is 60084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60084 ÷ 2 = 30042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60084 ÷ 3 = 20028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60084 ÷ 4 = 15021) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60084 ÷ 6 = 10014) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60084 ÷ 9 = 6676) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60084 ÷ 12 = 5007) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60084 a prime number?
No. 60084 = × × 1669, so it is divisible by 2.
What are the factors of 60084?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1669, 3338, 5007, 6676, 10014, 15021, 20028, 30042, 60084.
What is 60084 in binary?
1110101010110100 (hexadecimal EAB4, octal 165264).
What is the square root of 60084?
About 245.1204, exactly 6√1669.
Is 60084 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60084?
60084 is a Harshad number: divisible by its digit sum 18.