The number 60168
60168 is a composite number with 32 divisors. Its prime factorisation is × 3 × 23 × 109. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 109, 138, 184, 218 … 60168.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60168 is composite. Its prime factorisation is
- 3
The divisors add up to 158400; without 60168 itself that is 98232, so 60168 is abundant (98232 is more than 60168). Euler's totient φ(60168) = 19008 numbers up to 60168 share no factor with it.
- 4
The digits of 60168 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60168 = 2^{3} \times 3 \times 23 \times 109 \]60168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 158400 |
| Euler totient φ(n) | 19008 |
| Square | 3620188224 |
| Cube | 217819485061632 |
| Square root | 245.291663 (= 2√15042) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 6.0168 × |
60168 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and sixty-eight |
| Binary (base 2) | 1110101100001000 |
| Octal (base 8) | 165410 |
| Hexadecimal (base 16) | EB08 |
| Base 3 | 10001112110 |
| As time | 60168 seconds = 16 h 42 min 48 s |
Is 60168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60168 ÷ 2 = 30084) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60168 ÷ 3 = 20056) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60168 ÷ 4 = 15042) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60168 ÷ 6 = 10028) | 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 | Yes (60168 ÷ 8 = 7521) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60168 ÷ 12 = 5014) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60168 a prime number?
No. 60168 = × 3 × 23 × 109, so it is divisible by 2.
What are the factors of 60168?
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 109, 138, 184, 218, 276, 327, 436, 552, 654, 872, 1308, 2507, 2616, 5014, 7521, 10028, 15042, 20056, 30084, 60168.
What is 60168 in binary?
1110101100001000 (hexadecimal EB08, octal 165410).
What is the square root of 60168?
About 245.2917, exactly 2√15042.
Is 60168 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60168?
It is a composite number with 32 divisors.