The number 60066
60066 is a composite number with 24 divisors. Its prime factorisation is 2 × × 47 × 71. Divisors (24): 1, 2, 3, 6, 9, 18, 47, 71, 94, 141, 142, 213, 282, 423, 426, 639 … 60066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60066: a Harshad number: divisible by its digit sum 18.
- 2
60066 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 60066 itself that is 74718, so 60066 is abundant (74718 is more than 60066). Euler's totient φ(60066) = 19320 numbers up to 60066 share no factor with it.
- 4
The digits of 60066 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60066 = 2 \times 3^{2} \times 47 \times 71 \]60066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 19320 |
| Square | 3607924356 |
| Cube | 216713584367496 |
| Square root | 245.083659 (= 3√6674) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0066 × |
60066 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and sixty-six |
| Binary (base 2) | 1110101010100010 |
| Octal (base 8) | 165242 |
| Hexadecimal (base 16) | EAA2 |
| Base 3 | 10001101200 |
| As time | 60066 seconds = 16 h 41 min 6 s |
Is 60066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60066 ÷ 2 = 30033) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60066 ÷ 3 = 20022) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60066 ÷ 6 = 10011) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60066 ÷ 9 = 6674) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60066 a prime number?
No. 60066 = 2 × × 47 × 71, so it is divisible by 2.
What are the factors of 60066?
1, 2, 3, 6, 9, 18, 47, 71, 94, 141, 142, 213, 282, 423, 426, 639, 846, 1278, 3337, 6674, 10011, 20022, 30033, 60066.
What is 60066 in binary?
1110101010100010 (hexadecimal EAA2, octal 165242).
What is the square root of 60066?
About 245.0837, exactly 3√6674.
Is 60066 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60066?
60066 is a Harshad number: divisible by its digit sum 18.