The number 13270
13270 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1327. Divisors (8): 1, 2, 5, 10, 1327, 2654, 6635, 13270.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13270 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13270 is composite. Its prime factorisation is
- 3
The divisors add up to 23904; without 13270 itself that is 10634, so 13270 is deficient (10634 is less than 13270). Euler's totient φ(13270) = 5304 numbers up to 13270 share no factor with it.
- 4
The digits of 13270 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13270 = 2 \times 5 \times 1327 \]
13270 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23904 |
| Euler totient φ(n) | 5304 |
| Square | 176092900 |
| Cube | 2336752783000 |
| Square root | 115.195486 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.327 × |
13270 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and seventy |
| Binary (base 2) | 11001111010110 |
| Octal (base 8) | 31726 |
| Hexadecimal (base 16) | 33D6 |
| Base 3 | 200012111 |
| As time | 13270 seconds = 3 h 41 min 10 s |
Is 13270 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13270 ÷ 2 = 6635) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13270 ÷ 5 = 2654) | 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 6) | 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 (13270 ÷ 10 = 1327) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13270 a prime number?
No. 13270 = 2 × 5 × 1327, so it is divisible by 2.
What are the factors of 13270?
1, 2, 5, 10, 1327, 2654, 6635, 13270.
What is 13270 in binary?
11001111010110 (hexadecimal 33D6, octal 31726).
What is the square root of 13270?
About 115.1955.
Is 13270 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13270?
It is a composite number with 8 divisors.