The number 13160
13160 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 47. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 47, 56, 70, 94 … 13160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13160 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 13160 itself that is 21400, so 13160 is abundant (21400 is more than 13160). Euler's totient φ(13160) = 4416 numbers up to 13160 share no factor with it.
- 4
The digits of 13160 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13160 = 2^{3} \times 5 \times 7 \times 47 \]13160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 4416 |
| Square | 173185600 |
| Cube | 2279122496000 |
| Square root | 114.717043 (= 2√3290) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.316 × |
13160 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and sixty |
| Binary (base 2) | 11001101101000 |
| Octal (base 8) | 31550 |
| Hexadecimal (base 16) | 3368 |
| Base 3 | 200001102 |
| As time | 13160 seconds = 3 h 39 min 20 s |
Is 13160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13160 ÷ 2 = 6580) | 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 | Yes (13160 ÷ 4 = 3290) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13160 ÷ 5 = 2632) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13160 ÷ 7 = 1880) | 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 (13160 ÷ 8 = 1645) | 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 | Yes (13160 ÷ 10 = 1316) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13160 a prime number?
No. 13160 = × 5 × 7 × 47, so it is divisible by 2.
What are the factors of 13160?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 47, 56, 70, 94, 140, 188, 235, 280, 329, 376, 470, 658, 940, 1316, 1645, 1880, 2632, 3290, 6580, 13160.
What is 13160 in binary?
11001101101000 (hexadecimal 3368, octal 31550).
What is the square root of 13160?
About 114.7170, exactly 2√3290.
Is 13160 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13160?
It is a composite number with 32 divisors.