The number 13060
13060 is a composite number with 12 divisors. Its prime factorisation is × 5 × 653. Divisors (12): 1, 2, 4, 5, 10, 20, 653, 1306, 2612, 3265, 6530, 13060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13060: a Harshad number: divisible by its digit sum 10.
- 2
13060 is composite. Its prime factorisation is
- 3
The divisors add up to 27468; without 13060 itself that is 14408, so 13060 is abundant (14408 is more than 13060). Euler's totient φ(13060) = 5216 numbers up to 13060 share no factor with it.
- 4
The digits of 13060 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13060 = 2^{2} \times 5 \times 653 \]13060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27468 |
| Euler totient φ(n) | 5216 |
| Square | 170563600 |
| Cube | 2227560616000 |
| Square root | 114.280357 (= 2√3265) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.306 × |
13060 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and sixty |
| Binary (base 2) | 11001100000100 |
| Octal (base 8) | 31404 |
| Hexadecimal (base 16) | 3304 |
| Base 3 | 122220201 |
| As time | 13060 seconds = 3 h 37 min 40 s |
Is 13060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13060 ÷ 2 = 6530) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13060 ÷ 4 = 3265) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13060 ÷ 5 = 2612) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13060 ÷ 10 = 1306) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13060 a prime number?
No. 13060 = × 5 × 653, so it is divisible by 2.
What are the factors of 13060?
1, 2, 4, 5, 10, 20, 653, 1306, 2612, 3265, 6530, 13060.
What is 13060 in binary?
11001100000100 (hexadecimal 3304, octal 31404).
What is the square root of 13060?
About 114.2804, exactly 2√3265.
Is 13060 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13060?
13060 is a Harshad number: divisible by its digit sum 10.