The number 60005
60005 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 1091. Divisors (8): 1, 5, 11, 55, 1091, 5455, 12001, 60005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60005: a Harshad number: divisible by its digit sum 11.
- 2
60005 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 60005 itself that is 18619, so 60005 is deficient (18619 is less than 60005). Euler's totient φ(60005) = 43600 numbers up to 60005 share no factor with it.
- 4
The digits of 60005 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60005 = 5 \times 11 \times 1091 \]
60005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 43600 |
| Square | 3600600025 |
| Cube | 216054004500125 |
| Square root | 244.959180 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0005 × |
60005 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and five |
| Binary (base 2) | 1110101001100101 |
| Octal (base 8) | 165145 |
| Hexadecimal (base 16) | EA65 |
| Base 3 | 10001022102 |
| As time | 60005 seconds = 16 h 40 min 5 s |
Is 60005 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60005 ÷ 5 = 12001) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (60005 ÷ 11 = 5455) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60005 a prime number?
No. 60005 = 5 × 11 × 1091, so it is divisible by 5.
What are the factors of 60005?
1, 5, 11, 55, 1091, 5455, 12001, 60005.
What is 60005 in binary?
1110101001100101 (hexadecimal EA65, octal 165145).
What is the square root of 60005?
About 244.9592.
Is 60005 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 60005?
60005 is a Harshad number: divisible by its digit sum 11.