The number 60006
60006 is a palindrome: it reads 60006 backwards too. Its prime factorisation is 2 × 3 × 73 × 137. Divisors (16): 1, 2, 3, 6, 73, 137, 146, 219, 274, 411, 438, 822, 10001, 20002, 30003, 60006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60006: a palindrome: it reads 60006 backwards too.
- 2
60006 is composite. Its prime factorisation is
- 3
The divisors add up to 122544; without 60006 itself that is 62538, so 60006 is abundant (62538 is more than 60006). Euler's totient φ(60006) = 19584 numbers up to 60006 share no factor with it.
- 4
The digits of 60006 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60006 = 2 \times 3 \times 73 \times 137 \]
60006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122544 |
| Euler totient φ(n) | 19584 |
| Square | 3600720036 |
| Cube | 216064806480216 |
| Square root | 244.961221 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0006 × |
60006 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and six |
| Binary (base 2) | 1110101001100110 |
| Octal (base 8) | 165146 |
| Hexadecimal (base 16) | EA66 |
| Base 3 | 10001022110 |
| As time | 60006 seconds = 16 h 40 min 6 s |
Is 60006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60006 ÷ 2 = 30003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60006 ÷ 3 = 20002) | 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 (60006 ÷ 6 = 10001) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 60006 a prime number?
No. 60006 = 2 × 3 × 73 × 137, so it is divisible by 2.
What are the factors of 60006?
1, 2, 3, 6, 73, 137, 146, 219, 274, 411, 438, 822, 10001, 20002, 30003, 60006.
What is 60006 in binary?
1110101001100110 (hexadecimal EA66, octal 165146).
What is the square root of 60006?
About 244.9612.
Is 60006 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 60006?
60006 is a palindrome: it reads 60006 backwards too.