The number 13158
13158 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 43. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 43, 51, 86, 102, 129, 153, 258, 306 … 13158.
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How to work it out
- 1
What is special about 13158: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
13158 is composite. Its prime factorisation is
- 3
The divisors add up to 30888; without 13158 itself that is 17730, so 13158 is abundant (17730 is more than 13158). Euler's totient φ(13158) = 4032 numbers up to 13158 share no factor with it.
- 4
The digits of 13158 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13158 = 2 \times 3^{2} \times 17 \times 43 \]13158 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30888 |
| Euler totient φ(n) | 4032 |
| Square | 173132964 |
| Cube | 2278083540312 |
| Square root | 114.708326 (= 3√1462) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3158 × |
13158 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and fifty-eight |
| Binary (base 2) | 11001101100110 |
| Octal (base 8) | 31546 |
| Hexadecimal (base 16) | 3366 |
| Base 3 | 200001100 |
| As time | 13158 seconds = 3 h 39 min 18 s |
Is 13158 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13158 ÷ 2 = 6579) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13158 ÷ 3 = 4386) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13158 ÷ 6 = 2193) | 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 | Yes (13158 ÷ 9 = 1462) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13158 a prime number?
No. 13158 = 2 × × 17 × 43, so it is divisible by 2.
What are the factors of 13158?
1, 2, 3, 6, 9, 17, 18, 34, 43, 51, 86, 102, 129, 153, 258, 306, 387, 731, 774, 1462, 2193, 4386, 6579, 13158.
What is 13158 in binary?
11001101100110 (hexadecimal 3366, octal 31546).
What is the square root of 13158?
About 114.7083, exactly 3√1462.
Is 13158 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13158?
13158 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.