The number 13180
13180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 659. Divisors (12): 1, 2, 4, 5, 10, 20, 659, 1318, 2636, 3295, 6590, 13180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13180 is composite. Its prime factorisation is
- 3
The divisors add up to 27720; without 13180 itself that is 14540, so 13180 is abundant (14540 is more than 13180). Euler's totient φ(13180) = 5264 numbers up to 13180 share no factor with it.
- 4
The digits of 13180 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13180 = 2^{2} \times 5 \times 659 \]13180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27720 |
| Euler totient φ(n) | 5264 |
| Square | 173712400 |
| Cube | 2289529432000 |
| Square root | 114.804181 (= 2√3295) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.318 × |
13180 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and eighty |
| Binary (base 2) | 11001101111100 |
| Octal (base 8) | 31574 |
| Hexadecimal (base 16) | 337C |
| Base 3 | 200002011 |
| As time | 13180 seconds = 3 h 39 min 40 s |
Is 13180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13180 ÷ 2 = 6590) | 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 (13180 ÷ 4 = 3295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13180 ÷ 5 = 2636) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13180 ÷ 10 = 1318) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 13180 a prime number?
No. 13180 = × 5 × 659, so it is divisible by 2.
What are the factors of 13180?
1, 2, 4, 5, 10, 20, 659, 1318, 2636, 3295, 6590, 13180.
What is 13180 in binary?
11001101111100 (hexadecimal 337C, octal 31574).
What is the square root of 13180?
About 114.8042, exactly 2√3295.
Is 13180 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13180?
It is a composite number with 12 divisors.