The number 13170
13170 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 439. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 439, 878, 1317, 2195, 2634, 4390, 6585, 13170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13170 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13170 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 13170 itself that is 18510, so 13170 is abundant (18510 is more than 13170). Euler's totient φ(13170) = 3504 numbers up to 13170 share no factor with it.
- 4
The digits of 13170 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13170 = 2 \times 3 \times 5 \times 439 \]
13170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 3504 |
| Square | 173448900 |
| Cube | 2284322013000 |
| Square root | 114.760620 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.317 × |
13170 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and seventy |
| Binary (base 2) | 11001101110010 |
| Octal (base 8) | 31562 |
| Hexadecimal (base 16) | 3372 |
| Base 3 | 200001210 |
| As time | 13170 seconds = 3 h 39 min 30 s |
Is 13170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13170 ÷ 2 = 6585) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13170 ÷ 3 = 4390) | 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 | Yes (13170 ÷ 5 = 2634) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13170 ÷ 6 = 2195) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | Yes (13170 ÷ 10 = 1317) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13170 a prime number?
No. 13170 = 2 × 3 × 5 × 439, so it is divisible by 2.
What are the factors of 13170?
1, 2, 3, 5, 6, 10, 15, 30, 439, 878, 1317, 2195, 2634, 4390, 6585, 13170.
What is 13170 in binary?
11001101110010 (hexadecimal 3372, octal 31562).
What is the square root of 13170?
About 114.7606.
Is 13170 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13170?
It is a composite number with 16 divisors.