The number 60012
60012 is a composite number with 18 divisors. Its prime factorisation is × × 1667. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1667, 3334, 5001, 6668, 10002, 15003, 20004 … 60012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60012: a Harshad number: divisible by its digit sum 9.
- 2
60012 is composite. Its prime factorisation is
- 3
The divisors add up to 151788; without 60012 itself that is 91776, so 60012 is abundant (91776 is more than 60012). Euler's totient φ(60012) = 19992 numbers up to 60012 share no factor with it.
- 4
The digits of 60012 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60012 = 2^{2} \times 3^{2} \times 1667 \]60012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 151788 |
| Euler totient φ(n) | 19992 |
| Square | 3601440144 |
| Cube | 216129625921728 |
| Square root | 244.973468 (= 6√1667) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0012 × |
60012 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and twelve |
| Binary (base 2) | 1110101001101100 |
| Octal (base 8) | 165154 |
| Hexadecimal (base 16) | EA6C |
| Base 3 | 10001022200 |
| As time | 60012 seconds = 16 h 40 min 12 s |
Is 60012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60012 ÷ 2 = 30006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60012 ÷ 3 = 20004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60012 ÷ 4 = 15003) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60012 ÷ 6 = 10002) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60012 ÷ 9 = 6668) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60012 ÷ 12 = 5001) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60012 a prime number?
No. 60012 = × × 1667, so it is divisible by 2.
What are the factors of 60012?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1667, 3334, 5001, 6668, 10002, 15003, 20004, 30006, 60012.
What is 60012 in binary?
1110101001101100 (hexadecimal EA6C, octal 165154).
What is the square root of 60012?
About 244.9735, exactly 6√1667.
Is 60012 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 60012?
60012 is a Harshad number: divisible by its digit sum 9.