The number 13135
13135 is a composite number with 8 divisors. Its prime factorisation is 5 × 37 × 71. Divisors (8): 1, 5, 37, 71, 185, 355, 2627, 13135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13135 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13135 is composite. Its prime factorisation is
- 3
The divisors add up to 16416; without 13135 itself that is 3281, so 13135 is deficient (3281 is less than 13135). Euler's totient φ(13135) = 10080 numbers up to 13135 share no factor with it.
- 4
The digits of 13135 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
\[ 13135 = 5 \times 37 \times 71 \]
13135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16416 |
| Euler totient φ(n) | 10080 |
| Square | 172528225 |
| Cube | 2266158235375 |
| Square root | 114.608028 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3135 × |
13135 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty-five |
| Binary (base 2) | 11001101001111 |
| Octal (base 8) | 31517 |
| Hexadecimal (base 16) | 334F |
| Base 3 | 200000111 |
| As time | 13135 seconds = 3 h 38 min 55 s |
Is 13135 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13135 ÷ 5 = 2627) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13135 a prime number?
No. 13135 = 5 × 37 × 71, so it is divisible by 5.
What are the factors of 13135?
1, 5, 37, 71, 185, 355, 2627, 13135.
What is 13135 in binary?
11001101001111 (hexadecimal 334F, octal 31517).
What is the square root of 13135?
About 114.6080.
Is 13135 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13135?
It is a composite number with 8 divisors.